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Finding the Fourth Proportional to 516.71, 712.87 and 398.72

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Solution

The fourth proportional to 516.71, 712.87 and 398.72 is: 550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.71 : 712.87 = 398.72 : x
  2. Step 2: Convert to fraction form
    516.71/712.87 = 398.72/x
  3. Step 3: Cross multiply
    516.71x = 712.87 × 398.72
  4. Step 4: Simplify right side
    516.71x = 284,235.53
  5. Step 5: Solve for x
    x = 284,235.53/516.71
  6. Step 6: Final answer
    x = 550.09

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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.