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Finding the Fourth Proportional to 414.84, 617.22 and 413.43

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Solution

The fourth proportional to 414.84, 617.22 and 413.43 is: 615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 617.22 = 413.43 : x
  2. Step 2: Convert to fraction form
    414.84/617.22 = 413.43/x
  3. Step 3: Cross multiply
    414.84x = 617.22 × 413.43
  4. Step 4: Simplify right side
    414.84x = 255,177.26
  5. Step 5: Solve for x
    x = 255,177.26/414.84
  6. Step 6: Final answer
    x = 615.12

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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.