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Finding the Fourth Proportional to 413.25, 617.60 and 331.71

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Solution

The fourth proportional to 413.25, 617.60 and 331.71 is: 495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 617.60 = 331.71 : x
  2. Step 2: Convert to fraction form
    413.25/617.60 = 331.71/x
  3. Step 3: Cross multiply
    413.25x = 617.60 × 331.71
  4. Step 4: Simplify right side
    413.25x = 204,862.44
  5. Step 5: Solve for x
    x = 204,862.44/413.25
  6. Step 6: Final answer
    x = 495.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.