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Finding the Fourth Proportional to 517.31, 713.92 and 293.27

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Solution

The fourth proportional to 517.31, 713.92 and 293.27 is: 404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.31 : 713.92 = 293.27 : x
  2. Step 2: Convert to fraction form
    517.31/713.92 = 293.27/x
  3. Step 3: Cross multiply
    517.31x = 713.92 × 293.27
  4. Step 4: Simplify right side
    517.31x = 209,369.70
  5. Step 5: Solve for x
    x = 209,369.70/517.31
  6. Step 6: Final answer
    x = 404.72

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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.