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Finding the Fourth Proportional to 721.62, 1,076.45 and 634.14

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Solution

The fourth proportional to 721.62, 1,076.45 and 634.14 is: 945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.62 : 1,076.45 = 634.14 : x
  2. Step 2: Convert to fraction form
    721.62/1,076.45 = 634.14/x
  3. Step 3: Cross multiply
    721.62x = 1,076.45 × 634.14
  4. Step 4: Simplify right side
    721.62x = 682,616.83
  5. Step 5: Solve for x
    x = 682,616.83/721.62
  6. Step 6: Final answer
    x = 945.95

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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.