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Finding the Fourth Proportional to 937.84, 1,399.34 and 932.40

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Solution

The fourth proportional to 937.84, 1,399.34 and 932.40 is: 1,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.84 : 1,399.34 = 932.40 : x
  2. Step 2: Convert to fraction form
    937.84/1,399.34 = 932.40/x
  3. Step 3: Cross multiply
    937.84x = 1,399.34 × 932.40
  4. Step 4: Simplify right side
    937.84x = 1,304,744.62
  5. Step 5: Solve for x
    x = 1,304,744.62/937.84
  6. Step 6: Final answer
    x = 1,391.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.