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Finding the Fourth Proportional to 717.67, 1,077.42 and 688.42

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Solution

The fourth proportional to 717.67, 1,077.42 and 688.42 is: 1,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.67 : 1,077.42 = 688.42 : x
  2. Step 2: Convert to fraction form
    717.67/1,077.42 = 688.42/x
  3. Step 3: Cross multiply
    717.67x = 1,077.42 × 688.42
  4. Step 4: Simplify right side
    717.67x = 741,712.09
  5. Step 5: Solve for x
    x = 741,712.09/717.67
  6. Step 6: Final answer
    x = 1,033.51

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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.