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Finding the Fourth Proportional to 517.19, 715.05 and 392.66

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Solution

The fourth proportional to 517.19, 715.05 and 392.66 is: 542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.19 : 715.05 = 392.66 : x
  2. Step 2: Convert to fraction form
    517.19/715.05 = 392.66/x
  3. Step 3: Cross multiply
    517.19x = 715.05 × 392.66
  4. Step 4: Simplify right side
    517.19x = 280,767.96
  5. Step 5: Solve for x
    x = 280,767.96/517.19
  6. Step 6: Final answer
    x = 542.88

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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.