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Finding the Fourth Proportional to 413.26, 619.81 and 124.63

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Solution

The fourth proportional to 413.26, 619.81 and 124.63 is: 186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 619.81 = 124.63 : x
  2. Step 2: Convert to fraction form
    413.26/619.81 = 124.63/x
  3. Step 3: Cross multiply
    413.26x = 619.81 × 124.63
  4. Step 4: Simplify right side
    413.26x = 77,246.92
  5. Step 5: Solve for x
    x = 77,246.92/413.26
  6. Step 6: Final answer
    x = 186.92

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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.