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Finding the Fourth Proportional to 576.74, 863.87 and 413.86

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Solution

The fourth proportional to 576.74, 863.87 and 413.86 is: 619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.74 : 863.87 = 413.86 : x
  2. Step 2: Convert to fraction form
    576.74/863.87 = 413.86/x
  3. Step 3: Cross multiply
    576.74x = 863.87 × 413.86
  4. Step 4: Simplify right side
    576.74x = 357,521.24
  5. Step 5: Solve for x
    x = 357,521.24/576.74
  6. Step 6: Final answer
    x = 619.90

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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.