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Finding the Fourth Proportional to 724.40, 995.98 and 644.97

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Solution

The fourth proportional to 724.40, 995.98 and 644.97 is: 886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.40 : 995.98 = 644.97 : x
  2. Step 2: Convert to fraction form
    724.40/995.98 = 644.97/x
  3. Step 3: Cross multiply
    724.40x = 995.98 × 644.97
  4. Step 4: Simplify right side
    724.40x = 642,375.61
  5. Step 5: Solve for x
    x = 642,375.61/724.40
  6. Step 6: Final answer
    x = 886.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.