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Finding the Fourth Proportional to 516.38, 711.87 and 410.54

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Solution

The fourth proportional to 516.38, 711.87 and 410.54 is: 565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 711.87 = 410.54 : x
  2. Step 2: Convert to fraction form
    516.38/711.87 = 410.54/x
  3. Step 3: Cross multiply
    516.38x = 711.87 × 410.54
  4. Step 4: Simplify right side
    516.38x = 292,251.11
  5. Step 5: Solve for x
    x = 292,251.11/516.38
  6. Step 6: Final answer
    x = 565.96

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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.