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Finding the Fourth Proportional to 747.25, 1,120.85 and 724.69

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Solution

The fourth proportional to 747.25, 1,120.85 and 724.69 is: 1,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.25 : 1,120.85 = 724.69 : x
  2. Step 2: Convert to fraction form
    747.25/1,120.85 = 724.69/x
  3. Step 3: Cross multiply
    747.25x = 1,120.85 × 724.69
  4. Step 4: Simplify right side
    747.25x = 812,268.79
  5. Step 5: Solve for x
    x = 812,268.79/747.25
  6. Step 6: Final answer
    x = 1,087.02

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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.