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Finding the Fourth Proportional to 737.97, 1,101.68 and 712.35

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Solution

The fourth proportional to 737.97, 1,101.68 and 712.35 is: 1,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.97 : 1,101.68 = 712.35 : x
  2. Step 2: Convert to fraction form
    737.97/1,101.68 = 712.35/x
  3. Step 3: Cross multiply
    737.97x = 1,101.68 × 712.35
  4. Step 4: Simplify right side
    737.97x = 784,781.75
  5. Step 5: Solve for x
    x = 784,781.75/737.97
  6. Step 6: Final answer
    x = 1,063.43

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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.