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Finding the Fourth Proportional to 939.29, 1,408.92 and 354.27

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Solution

The fourth proportional to 939.29, 1,408.92 and 354.27 is: 531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.29 : 1,408.92 = 354.27 : x
  2. Step 2: Convert to fraction form
    939.29/1,408.92 = 354.27/x
  3. Step 3: Cross multiply
    939.29x = 1,408.92 × 354.27
  4. Step 4: Simplify right side
    939.29x = 499,138.09
  5. Step 5: Solve for x
    x = 499,138.09/939.29
  6. Step 6: Final answer
    x = 531.40

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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.