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Finding the Fourth Proportional to 701.54, 1,044.30 and 691.16

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Solution

The fourth proportional to 701.54, 1,044.30 and 691.16 is: 1,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.54 : 1,044.30 = 691.16 : x
  2. Step 2: Convert to fraction form
    701.54/1,044.30 = 691.16/x
  3. Step 3: Cross multiply
    701.54x = 1,044.30 × 691.16
  4. Step 4: Simplify right side
    701.54x = 721,778.39
  5. Step 5: Solve for x
    x = 721,778.39/701.54
  6. Step 6: Final answer
    x = 1,028.85

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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.