Q57. - Algebra 1

Question

Solve each proportion. If necessary, round to the nearest hundredth.

$\frac{4}{9}=\frac{a}{45}$

Step-by-Step Solution

Answer

The solution of the proportion is $a=20$.

Step 1. Given information.

We have a proportion is $\frac{4}{9}=\frac{a}{45}$.

To find the solution of the given proportion and then round it to the nearest hundredth.

Step 2. Apply concept.

We apply the cross-product concept and solve the given proportion.

As $\frac{x}{y}=\frac{4}{5}\Rightarrow 5x=4y$

Step 3. Calculation.

Solving the given proportion using the above rule.

$\begin{array}{l}\frac{4}{9}=\frac{a}{45}\\ \Rightarrow 9a=4\times 45\\ \Rightarrow a=\frac{4\times 45}{9}\\ \Rightarrow a=4\left(5\right)\\ \Rightarrow a=20\end{array}$

Therefore, the solution of the proportion is $a=20$.