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Finding the Fourth Proportional to 671.97, 999.82 and 655.23

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Solution

The fourth proportional to 671.97, 999.82 and 655.23 is: 974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.97 : 999.82 = 655.23 : x
  2. Step 2: Convert to fraction form
    671.97/999.82 = 655.23/x
  3. Step 3: Cross multiply
    671.97x = 999.82 × 655.23
  4. Step 4: Simplify right side
    671.97x = 655,109.13
  5. Step 5: Solve for x
    x = 655,109.13/671.97
  6. Step 6: Final answer
    x = 974.91

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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.