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Finding the Fourth Proportional to 996.39, 1,491.48 and 748.13

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Solution

The fourth proportional to 996.39, 1,491.48 and 748.13 is: 1,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.39 : 1,491.48 = 748.13 : x
  2. Step 2: Convert to fraction form
    996.39/1,491.48 = 748.13/x
  3. Step 3: Cross multiply
    996.39x = 1,491.48 × 748.13
  4. Step 4: Simplify right side
    996.39x = 1,115,813.48
  5. Step 5: Solve for x
    x = 1,115,813.48/996.39
  6. Step 6: Final answer
    x = 1,119.86

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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.