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Finding the Fourth Proportional to 517.25, 775.92 and 165.90

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Solution

The fourth proportional to 517.25, 775.92 and 165.90 is: 248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.25 : 775.92 = 165.90 : x
  2. Step 2: Convert to fraction form
    517.25/775.92 = 165.90/x
  3. Step 3: Cross multiply
    517.25x = 775.92 × 165.90
  4. Step 4: Simplify right side
    517.25x = 128,724.30
  5. Step 5: Solve for x
    x = 128,724.30/517.25
  6. Step 6: Final answer
    x = 248.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.