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Finding the Fourth Proportional to 552.87, 763.29 and 516.15

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Solution

The fourth proportional to 552.87, 763.29 and 516.15 is: 712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.87 : 763.29 = 516.15 : x
  2. Step 2: Convert to fraction form
    552.87/763.29 = 516.15/x
  3. Step 3: Cross multiply
    552.87x = 763.29 × 516.15
  4. Step 4: Simplify right side
    552.87x = 393,972.13
  5. Step 5: Solve for x
    x = 393,972.13/552.87
  6. Step 6: Final answer
    x = 712.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.