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Finding the Fourth Proportional to 724.61, 999.99 and 444.75

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Solution

The fourth proportional to 724.61, 999.99 and 444.75 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.61 : 999.99 = 444.75 : x
  2. Step 2: Convert to fraction form
    724.61/999.99 = 444.75/x
  3. Step 3: Cross multiply
    724.61x = 999.99 × 444.75
  4. Step 4: Simplify right side
    724.61x = 444,745.55
  5. Step 5: Solve for x
    x = 444,745.55/724.61
  6. Step 6: Final answer
    x = 613.78

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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.