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Finding the Fourth Proportional to 997.49, 1,373.68 and 994.25

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Solution

The fourth proportional to 997.49, 1,373.68 and 994.25 is: 1,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.49 : 1,373.68 = 994.25 : x
  2. Step 2: Convert to fraction form
    997.49/1,373.68 = 994.25/x
  3. Step 3: Cross multiply
    997.49x = 1,373.68 × 994.25
  4. Step 4: Simplify right side
    997.49x = 1,365,781.34
  5. Step 5: Solve for x
    x = 1,365,781.34/997.49
  6. Step 6: Final answer
    x = 1,369.22

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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.