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Finding the Fourth Proportional to 721.98, 1,083.72 and 444.54

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Solution

The fourth proportional to 721.98, 1,083.72 and 444.54 is: 667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.98 : 1,083.72 = 444.54 : x
  2. Step 2: Convert to fraction form
    721.98/1,083.72 = 444.54/x
  3. Step 3: Cross multiply
    721.98x = 1,083.72 × 444.54
  4. Step 4: Simplify right side
    721.98x = 481,752.99
  5. Step 5: Solve for x
    x = 481,752.99/721.98
  6. Step 6: Final answer
    x = 667.26

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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.