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Finding the Fourth Proportional to 992.31, 1,481.18 and 919

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Solution

The fourth proportional to 992.31, 1,481.18 and 919 is: 1,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.31 : 1,481.18 = 919 : x
  2. Step 2: Convert to fraction form
    992.31/1,481.18 = 919/x
  3. Step 3: Cross multiply
    992.31x = 1,481.18 × 919
  4. Step 4: Simplify right side
    992.31x = 1,361,204.42
  5. Step 5: Solve for x
    x = 1,361,204.42/992.31
  6. Step 6: Final answer
    x = 1,371.75

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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.