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Finding the Fourth Proportional to 997.91, 1,377.98 and 625.53

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Solution

The fourth proportional to 997.91, 1,377.98 and 625.53 is: 863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.91 : 1,377.98 = 625.53 : x
  2. Step 2: Convert to fraction form
    997.91/1,377.98 = 625.53/x
  3. Step 3: Cross multiply
    997.91x = 1,377.98 × 625.53
  4. Step 4: Simplify right side
    997.91x = 861,965.95
  5. Step 5: Solve for x
    x = 861,965.95/997.91
  6. Step 6: Final answer
    x = 863.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.