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Finding the Fourth Proportional to 724.38, 999.65 and 413.88

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Solution

The fourth proportional to 724.38, 999.65 and 413.88 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 999.65 = 413.88 : x
  2. Step 2: Convert to fraction form
    724.38/999.65 = 413.88/x
  3. Step 3: Cross multiply
    724.38x = 999.65 × 413.88
  4. Step 4: Simplify right side
    724.38x = 413,735.14
  5. Step 5: Solve for x
    x = 413,735.14/724.38
  6. Step 6: Final answer
    x = 571.16

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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.