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Finding the Fourth Proportional to 422.79, 584.91 and 413.61

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Solution

The fourth proportional to 422.79, 584.91 and 413.61 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.79 : 584.91 = 413.61 : x
  2. Step 2: Convert to fraction form
    422.79/584.91 = 413.61/x
  3. Step 3: Cross multiply
    422.79x = 584.91 × 413.61
  4. Step 4: Simplify right side
    422.79x = 241,924.63
  5. Step 5: Solve for x
    x = 241,924.63/422.79
  6. Step 6: Final answer
    x = 572.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.