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Finding the Fourth Proportional to 724.89, 1,000.98 and 689.66

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Solution

The fourth proportional to 724.89, 1,000.98 and 689.66 is: 952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.89 : 1,000.98 = 689.66 : x
  2. Step 2: Convert to fraction form
    724.89/1,000.98 = 689.66/x
  3. Step 3: Cross multiply
    724.89x = 1,000.98 × 689.66
  4. Step 4: Simplify right side
    724.89x = 690,330.86
  5. Step 5: Solve for x
    x = 690,330.86/724.89
  6. Step 6: Final answer
    x = 952.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.