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Finding the Fourth Proportional to 444.74, 663.19 and 413.96

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Solution

The fourth proportional to 444.74, 663.19 and 413.96 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.74 : 663.19 = 413.96 : x
  2. Step 2: Convert to fraction form
    444.74/663.19 = 413.96/x
  3. Step 3: Cross multiply
    444.74x = 663.19 × 413.96
  4. Step 4: Simplify right side
    444.74x = 274,534.13
  5. Step 5: Solve for x
    x = 274,534.13/444.74
  6. Step 6: Final answer
    x = 617.29

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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.