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Finding the Fourth Proportional to 997.12, 1,375.82 and 604.07

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Solution

The fourth proportional to 997.12, 1,375.82 and 604.07 is: 833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.12 : 1,375.82 = 604.07 : x
  2. Step 2: Convert to fraction form
    997.12/1,375.82 = 604.07/x
  3. Step 3: Cross multiply
    997.12x = 1,375.82 × 604.07
  4. Step 4: Simplify right side
    997.12x = 831,089.11
  5. Step 5: Solve for x
    x = 831,089.11/997.12
  6. Step 6: Final answer
    x = 833.49

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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.