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Finding the Fourth Proportional to 1,112.66, 1,667.24 and 996.46

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Solution

The fourth proportional to 1,112.66, 1,667.24 and 996.46 is: 1,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.66 : 1,667.24 = 996.46 : x
  2. Step 2: Convert to fraction form
    1,112.66/1,667.24 = 996.46/x
  3. Step 3: Cross multiply
    1,112.66x = 1,667.24 × 996.46
  4. Step 4: Simplify right side
    1,112.66x = 1,661,337.97
  5. Step 5: Solve for x
    x = 1,661,337.97/1,112.66
  6. Step 6: Final answer
    x = 1,493.12

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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.