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Finding the Fourth Proportional to 731.53, 1,090.84 and 724.95

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Solution

The fourth proportional to 731.53, 1,090.84 and 724.95 is: 1,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.53 : 1,090.84 = 724.95 : x
  2. Step 2: Convert to fraction form
    731.53/1,090.84 = 724.95/x
  3. Step 3: Cross multiply
    731.53x = 1,090.84 × 724.95
  4. Step 4: Simplify right side
    731.53x = 790,800.82
  5. Step 5: Solve for x
    x = 790,800.82/731.53
  6. Step 6: Final answer
    x = 1,081.02

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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.