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Finding the Fourth Proportional to 621.26, 932.10 and 413.86

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Solution

The fourth proportional to 621.26, 932.10 and 413.86 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.26 : 932.10 = 413.86 : x
  2. Step 2: Convert to fraction form
    621.26/932.10 = 413.86/x
  3. Step 3: Cross multiply
    621.26x = 932.10 × 413.86
  4. Step 4: Simplify right side
    621.26x = 385,754.25
  5. Step 5: Solve for x
    x = 385,754.25/621.26
  6. Step 6: Final answer
    x = 620.93

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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.