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Finding the Fourth Proportional to 724.50, 1,000.62 and 491.22

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Solution

The fourth proportional to 724.50, 1,000.62 and 491.22 is: 678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.50 : 1,000.62 = 491.22 : x
  2. Step 2: Convert to fraction form
    724.50/1,000.62 = 491.22/x
  3. Step 3: Cross multiply
    724.50x = 1,000.62 × 491.22
  4. Step 4: Simplify right side
    724.50x = 491,524.56
  5. Step 5: Solve for x
    x = 491,524.56/724.50
  6. Step 6: Final answer
    x = 678.43

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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.