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Finding the Fourth Proportional to 516.38, 708.24 and 458.06

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Solution

The fourth proportional to 516.38, 708.24 and 458.06 is: 628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 708.24 = 458.06 : x
  2. Step 2: Convert to fraction form
    516.38/708.24 = 458.06/x
  3. Step 3: Cross multiply
    516.38x = 708.24 × 458.06
  4. Step 4: Simplify right side
    516.38x = 324,414.12
  5. Step 5: Solve for x
    x = 324,414.12/516.38
  6. Step 6: Final answer
    x = 628.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.