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Finding the Fourth Proportional to 997.31, 1,489.93 and 833.29

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Solution

The fourth proportional to 997.31, 1,489.93 and 833.29 is: 1,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.31 : 1,489.93 = 833.29 : x
  2. Step 2: Convert to fraction form
    997.31/1,489.93 = 833.29/x
  3. Step 3: Cross multiply
    997.31x = 1,489.93 × 833.29
  4. Step 4: Simplify right side
    997.31x = 1,241,537.96
  5. Step 5: Solve for x
    x = 1,241,537.96/997.31
  6. Step 6: Final answer
    x = 1,244.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.