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Finding the Fourth Proportional to 939.50, 1,294.10 and 781.82

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Solution

The fourth proportional to 939.50, 1,294.10 and 781.82 is: 1,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.50 : 1,294.10 = 781.82 : x
  2. Step 2: Convert to fraction form
    939.50/1,294.10 = 781.82/x
  3. Step 3: Cross multiply
    939.50x = 1,294.10 × 781.82
  4. Step 4: Simplify right side
    939.50x = 1,011,753.26
  5. Step 5: Solve for x
    x = 1,011,753.26/939.50
  6. Step 6: Final answer
    x = 1,076.91

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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.