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Finding the Fourth Proportional to 517.16, 712.86 and 392.42

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Solution

The fourth proportional to 517.16, 712.86 and 392.42 is: 540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 712.86 = 392.42 : x
  2. Step 2: Convert to fraction form
    517.16/712.86 = 392.42/x
  3. Step 3: Cross multiply
    517.16x = 712.86 × 392.42
  4. Step 4: Simplify right side
    517.16x = 279,740.52
  5. Step 5: Solve for x
    x = 279,740.52/517.16
  6. Step 6: Final answer
    x = 540.92

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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.