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Finding the Fourth Proportional to 724.21, 998.83 and 461.77

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Solution

The fourth proportional to 724.21, 998.83 and 461.77 is: 636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.21 : 998.83 = 461.77 : x
  2. Step 2: Convert to fraction form
    724.21/998.83 = 461.77/x
  3. Step 3: Cross multiply
    724.21x = 998.83 × 461.77
  4. Step 4: Simplify right side
    724.21x = 461,229.73
  5. Step 5: Solve for x
    x = 461,229.73/724.21
  6. Step 6: Final answer
    x = 636.87

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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.