Ratios and proportions are essential for – effective performance. In this, article we shall learn how to calculate proportions and apply the knowledge to solve sample problems, but before that, let’s begin by defining ratios.
A ratio is a way of making comparisons between two or more quantities. The sign used to denote a ratio is colon ‘:’ Suppose a and b are two different quantities or numbers, then the ratio of a to b can be written as as a/b or a: b. Similarly, the ratio of b to a can also be represented as b: a or b/a. The first quantity in a ratio is known as antecedent and the second value is referred to as the consequent.
Examples of ratios are: ¾ or 3: 4, 1/5 or 1: 5, 199/389 or 199:389 etc. It is evident from this example that, a ratio is simply a fraction where the antecedent is the numerator and the consequent is the denominator.
The famous Vitruvian Man drawing of Leonardo da Vinci was based on the ideal ratio of the human body. Each part of the body takes up different ratio, like face takes up about 1/10 of the total height, and head takes up about 1/8 of the total height. The writers in middle ages used the word proportio (proportion) for the first time. In 1948, Le Corbusier gave a system of proportions
What is a Proportion?
A proportion is an expression which tells us that, two ratios are equivalent. Two ratios are said to be in proportional if they are equivalent. Proportions are represented by the by the sign ‘:’ or ‘=’. For instance, if a, b, c and d are integers, then the proportion is written as a: b = c: d or a/b = c/d or b: a = d: c. For example, the ratios 3: 5 and 15: 25 are proportional and are written as 3: 5= 15: 25
Answers & Comments
Answer:
Ratios and proportions are essential for – effective performance. In this, article we shall learn how to calculate proportions and apply the knowledge to solve sample problems, but before that, let’s begin by defining ratios.
A ratio is a way of making comparisons between two or more quantities. The sign used to denote a ratio is colon ‘:’ Suppose a and b are two different quantities or numbers, then the ratio of a to b can be written as as a/b or a: b. Similarly, the ratio of b to a can also be represented as b: a or b/a. The first quantity in a ratio is known as antecedent and the second value is referred to as the consequent.
Examples of ratios are: ¾ or 3: 4, 1/5 or 1: 5, 199/389 or 199:389 etc. It is evident from this example that, a ratio is simply a fraction where the antecedent is the numerator and the consequent is the denominator.
The famous Vitruvian Man drawing of Leonardo da Vinci was based on the ideal ratio of the human body. Each part of the body takes up different ratio, like face takes up about 1/10 of the total height, and head takes up about 1/8 of the total height. The writers in middle ages used the word proportio (proportion) for the first time. In 1948, Le Corbusier gave a system of proportions
What is a Proportion?
A proportion is an expression which tells us that, two ratios are equivalent. Two ratios are said to be in proportional if they are equivalent. Proportions are represented by the by the sign ‘:’ or ‘=’. For instance, if a, b, c and d are integers, then the proportion is written as a: b = c: d or a/b = c/d or b: a = d: c. For example, the ratios 3: 5 and 15: 25 are proportional and are written as 3: 5= 15: 25
Step-by-step explanation:
Sorry