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Finding the Fourth Proportional to 439.98, 656.88 and 413.88

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Solution

The fourth proportional to 439.98, 656.88 and 413.88 is: 617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.98 : 656.88 = 413.88 : x
  2. Step 2: Convert to fraction form
    439.98/656.88 = 413.88/x
  3. Step 3: Cross multiply
    439.98x = 656.88 × 413.88
  4. Step 4: Simplify right side
    439.98x = 271,869.49
  5. Step 5: Solve for x
    x = 271,869.49/439.98
  6. Step 6: Final answer
    x = 617.91

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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.