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Finding the Fourth Proportional to 413.39, 620.10 and 124.85

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Solution

The fourth proportional to 413.39, 620.10 and 124.85 is: 187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.39 : 620.10 = 124.85 : x
  2. Step 2: Convert to fraction form
    413.39/620.10 = 124.85/x
  3. Step 3: Cross multiply
    413.39x = 620.10 × 124.85
  4. Step 4: Simplify right side
    413.39x = 77,419.49
  5. Step 5: Solve for x
    x = 77,419.49/413.39
  6. Step 6: Final answer
    x = 187.28

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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.