Finding the Fourth Proportional to 492.72, 680.24 and 427.92
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Solution
The fourth proportional to 492.72, 680.24 and 427.92 is: 590.78
Step by Step Solution
- Step 1: Write the proportion equation
492.72 : 680.24 = 427.92 : x - Step 2: Convert to fraction form
492.72/680.24 = 427.92/x - Step 3: Cross multiply
492.72x = 680.24 × 427.92 - Step 4: Simplify right side
492.72x = 291,088.30 - Step 5: Solve for x
x = 291,088.30/492.72 - Step 6: Final answer
x = 590.78
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.