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Finding the Fourth Proportional to 721.67, 1,083.20 and 448.30

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Solution

The fourth proportional to 721.67, 1,083.20 and 448.30 is: 672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.67 : 1,083.20 = 448.30 : x
  2. Step 2: Convert to fraction form
    721.67/1,083.20 = 448.30/x
  3. Step 3: Cross multiply
    721.67x = 1,083.20 × 448.30
  4. Step 4: Simplify right side
    721.67x = 485,598.56
  5. Step 5: Solve for x
    x = 485,598.56/721.67
  6. Step 6: Final answer
    x = 672.88

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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.