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Finding the Fourth Proportional to 724.61, 1,079.46 and 688.97

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Solution

The fourth proportional to 724.61, 1,079.46 and 688.97 is: 1,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.61 : 1,079.46 = 688.97 : x
  2. Step 2: Convert to fraction form
    724.61/1,079.46 = 688.97/x
  3. Step 3: Cross multiply
    724.61x = 1,079.46 × 688.97
  4. Step 4: Simplify right side
    724.61x = 743,718.25
  5. Step 5: Solve for x
    x = 743,718.25/724.61
  6. Step 6: Final answer
    x = 1,026.37

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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.