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Finding the Fourth Proportional to 721.79, 1,083.04 and 447.81

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Solution

The fourth proportional to 721.79, 1,083.04 and 447.81 is: 671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.79 : 1,083.04 = 447.81 : x
  2. Step 2: Convert to fraction form
    721.79/1,083.04 = 447.81/x
  3. Step 3: Cross multiply
    721.79x = 1,083.04 × 447.81
  4. Step 4: Simplify right side
    721.79x = 484,996.14
  5. Step 5: Solve for x
    x = 484,996.14/721.79
  6. Step 6: Final answer
    x = 671.94

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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.