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Finding the Fourth Proportional to 994.12, 1,489.02 and 923.56

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Solution

The fourth proportional to 994.12, 1,489.02 and 923.56 is: 1,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.12 : 1,489.02 = 923.56 : x
  2. Step 2: Convert to fraction form
    994.12/1,489.02 = 923.56/x
  3. Step 3: Cross multiply
    994.12x = 1,489.02 × 923.56
  4. Step 4: Simplify right side
    994.12x = 1,375,199.31
  5. Step 5: Solve for x
    x = 1,375,199.31/994.12
  6. Step 6: Final answer
    x = 1,383.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.