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Finding the Fourth Proportional to 717.42, 1,068.78 and 691.29

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Solution

The fourth proportional to 717.42, 1,068.78 and 691.29 is: 1,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.42 : 1,068.78 = 691.29 : x
  2. Step 2: Convert to fraction form
    717.42/1,068.78 = 691.29/x
  3. Step 3: Cross multiply
    717.42x = 1,068.78 × 691.29
  4. Step 4: Simplify right side
    717.42x = 738,836.93
  5. Step 5: Solve for x
    x = 738,836.93/717.42
  6. Step 6: Final answer
    x = 1,029.85

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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.