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Finding the Fourth Proportional to 415.04, 617.68 and 413.76

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Solution

The fourth proportional to 415.04, 617.68 and 413.76 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.04 : 617.68 = 413.76 : x
  2. Step 2: Convert to fraction form
    415.04/617.68 = 413.76/x
  3. Step 3: Cross multiply
    415.04x = 617.68 × 413.76
  4. Step 4: Simplify right side
    415.04x = 255,571.28
  5. Step 5: Solve for x
    x = 255,571.28/415.04
  6. Step 6: Final answer
    x = 615.78

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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.