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Finding the Fourth Proportional to 724.09, 998.98 and 462.55

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Solution

The fourth proportional to 724.09, 998.98 and 462.55 is: 638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.09 : 998.98 = 462.55 : x
  2. Step 2: Convert to fraction form
    724.09/998.98 = 462.55/x
  3. Step 3: Cross multiply
    724.09x = 998.98 × 462.55
  4. Step 4: Simplify right side
    724.09x = 462,078.20
  5. Step 5: Solve for x
    x = 462,078.20/724.09
  6. Step 6: Final answer
    x = 638.15

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Double scale
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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.