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Finding the Fourth Proportional to 724.18, 999.48 and 413.68

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Solution

The fourth proportional to 724.18, 999.48 and 413.68 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.18 : 999.48 = 413.68 : x
  2. Step 2: Convert to fraction form
    724.18/999.48 = 413.68/x
  3. Step 3: Cross multiply
    724.18x = 999.48 × 413.68
  4. Step 4: Simplify right side
    724.18x = 413,464.89
  5. Step 5: Solve for x
    x = 413,464.89/724.18
  6. Step 6: Final answer
    x = 570.94

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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.