Finding the Fourth Proportional to 1,542.24, 2,313.12 and 516
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Solution
The fourth proportional to 1,542.24, 2,313.12 and 516 is: 773.92
Step by Step Solution
- Step 1: Write the proportion equation
1,542.24 : 2,313.12 = 516 : x - Step 2: Convert to fraction form
1,542.24/2,313.12 = 516/x - Step 3: Cross multiply
1,542.24x = 2,313.12 × 516 - Step 4: Simplify right side
1,542.24x = 1,193,569.92 - Step 5: Solve for x
x = 1,193,569.92/1,542.24 - Step 6: Final answer
x = 773.92
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.