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Finding the Fourth Proportional to 880.33, 1,321.22 and 447.61

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Solution

The fourth proportional to 880.33, 1,321.22 and 447.61 is: 671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.33 : 1,321.22 = 447.61 : x
  2. Step 2: Convert to fraction form
    880.33/1,321.22 = 447.61/x
  3. Step 3: Cross multiply
    880.33x = 1,321.22 × 447.61
  4. Step 4: Simplify right side
    880.33x = 591,391.28
  5. Step 5: Solve for x
    x = 591,391.28/880.33
  6. Step 6: Final answer
    x = 671.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.