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Finding the Fourth Proportional to 997.78, 1,377 and 604.90

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Solution

The fourth proportional to 997.78, 1,377 and 604.90 is: 834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.78 : 1,377 = 604.90 : x
  2. Step 2: Convert to fraction form
    997.78/1,377 = 604.90/x
  3. Step 3: Cross multiply
    997.78x = 1,377 × 604.90
  4. Step 4: Simplify right side
    997.78x = 832,947.30
  5. Step 5: Solve for x
    x = 832,947.30/997.78
  6. Step 6: Final answer
    x = 834.80

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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.