Question

State whether the given statement is true (T) or false (F).

$4:7=20:45$

• A. True
• B. False

Answer 1

The correct option is B False

Proportion :

When two ratios are equal in value, then they are said to be in proportion. In simple words, it compares two ratios. Proportions are denoted by the symbol ‘::’ or ‘=’.

Given, $4:7=20:45$, Where $4,7,20$ and $45$ are in proportion.

We can write the above proportion as :

$\frac{4}{7}=\frac{20}{45}$

$\Rightarrow 4\times 45=20\times 7$ (on cross multiplying)

$\Rightarrow 180=140$

As we can see in the above expression L.H.S. value is not equal to the R.H.S. value.

So, the given values are not in proportion.

Hence, the given statement is false (F).