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Finding the Fourth Proportional to 938.52, 1,408.17 and 505.17

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Solution

The fourth proportional to 938.52, 1,408.17 and 505.17 is: 757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.52 : 1,408.17 = 505.17 : x
  2. Step 2: Convert to fraction form
    938.52/1,408.17 = 505.17/x
  3. Step 3: Cross multiply
    938.52x = 1,408.17 × 505.17
  4. Step 4: Simplify right side
    938.52x = 711,365.24
  5. Step 5: Solve for x
    x = 711,365.24/938.52
  6. Step 6: Final answer
    x = 757.96

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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.