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Finding the Fourth Proportional to 997.83, 1,377.13 and 604.85

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Solution

The fourth proportional to 997.83, 1,377.13 and 604.85 is: 834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.83 : 1,377.13 = 604.85 : x
  2. Step 2: Convert to fraction form
    997.83/1,377.13 = 604.85/x
  3. Step 3: Cross multiply
    997.83x = 1,377.13 × 604.85
  4. Step 4: Simplify right side
    997.83x = 832,959.01
  5. Step 5: Solve for x
    x = 832,959.01/997.83
  6. Step 6: Final answer
    x = 834.77

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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.