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Finding the Fourth Proportional to 997.84, 1,377.23 and 604.88

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Solution

The fourth proportional to 997.84, 1,377.23 and 604.88 is: 834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.84 : 1,377.23 = 604.88 : x
  2. Step 2: Convert to fraction form
    997.84/1,377.23 = 604.88/x
  3. Step 3: Cross multiply
    997.84x = 1,377.23 × 604.88
  4. Step 4: Simplify right side
    997.84x = 833,058.88
  5. Step 5: Solve for x
    x = 833,058.88/997.84
  6. Step 6: Final answer
    x = 834.86

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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.