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Finding the Fourth Proportional to 576.18, 863.87 and 413.78

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Solution

The fourth proportional to 576.18, 863.87 and 413.78 is: 620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.18 : 863.87 = 413.78 : x
  2. Step 2: Convert to fraction form
    576.18/863.87 = 413.78/x
  3. Step 3: Cross multiply
    576.18x = 863.87 × 413.78
  4. Step 4: Simplify right side
    576.18x = 357,445.74
  5. Step 5: Solve for x
    x = 357,445.74/576.18
  6. Step 6: Final answer
    x = 620.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.