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Finding the Fourth Proportional to 724.26, 999.46 and 413.76

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Solution

The fourth proportional to 724.26, 999.46 and 413.76 is: 570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.26 : 999.46 = 413.76 : x
  2. Step 2: Convert to fraction form
    724.26/999.46 = 413.76/x
  3. Step 3: Cross multiply
    724.26x = 999.46 × 413.76
  4. Step 4: Simplify right side
    724.26x = 413,536.57
  5. Step 5: Solve for x
    x = 413,536.57/724.26
  6. Step 6: Final answer
    x = 570.98

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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.