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Finding the Fourth Proportional to 480.97, 717.98 and 447.22

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Solution

The fourth proportional to 480.97, 717.98 and 447.22 is: 667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.97 : 717.98 = 447.22 : x
  2. Step 2: Convert to fraction form
    480.97/717.98 = 447.22/x
  3. Step 3: Cross multiply
    480.97x = 717.98 × 447.22
  4. Step 4: Simplify right side
    480.97x = 321,095.02
  5. Step 5: Solve for x
    x = 321,095.02/480.97
  6. Step 6: Final answer
    x = 667.60

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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.