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Finding the Fourth Proportional to 691.14, 1,034.25 and 680.22

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Solution

The fourth proportional to 691.14, 1,034.25 and 680.22 is: 1,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.14 : 1,034.25 = 680.22 : x
  2. Step 2: Convert to fraction form
    691.14/1,034.25 = 680.22/x
  3. Step 3: Cross multiply
    691.14x = 1,034.25 × 680.22
  4. Step 4: Simplify right side
    691.14x = 703,517.54
  5. Step 5: Solve for x
    x = 703,517.54/691.14
  6. Step 6: Final answer
    x = 1,017.91

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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.