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Finding the Fourth Proportional to 724.33, 999.42 and 413.93

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Solution

The fourth proportional to 724.33, 999.42 and 413.93 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.33 : 999.42 = 413.93 : x
  2. Step 2: Convert to fraction form
    724.33/999.42 = 413.93/x
  3. Step 3: Cross multiply
    724.33x = 999.42 × 413.93
  4. Step 4: Simplify right side
    724.33x = 413,689.92
  5. Step 5: Solve for x
    x = 413,689.92/724.33
  6. Step 6: Final answer
    x = 571.13

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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.