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Finding the Fourth Proportional to 422.01, 627.89 and 413.82

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Solution

The fourth proportional to 422.01, 627.89 and 413.82 is: 615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 627.89 = 413.82 : x
  2. Step 2: Convert to fraction form
    422.01/627.89 = 413.82/x
  3. Step 3: Cross multiply
    422.01x = 627.89 × 413.82
  4. Step 4: Simplify right side
    422.01x = 259,831.37
  5. Step 5: Solve for x
    x = 259,831.37/422.01
  6. Step 6: Final answer
    x = 615.70

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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.