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Finding the Fourth Proportional to 418.20, 622.35 and 413.88

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Solution

The fourth proportional to 418.20, 622.35 and 413.88 is: 615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 622.35 = 413.88 : x
  2. Step 2: Convert to fraction form
    418.20/622.35 = 413.88/x
  3. Step 3: Cross multiply
    418.20x = 622.35 × 413.88
  4. Step 4: Simplify right side
    418.20x = 257,578.22
  5. Step 5: Solve for x
    x = 257,578.22/418.20
  6. Step 6: Final answer
    x = 615.92

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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.