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Finding the Fourth Proportional to 1,193.22, 1,789.38 and 748.50

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Solution

The fourth proportional to 1,193.22, 1,789.38 and 748.50 is: 1,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.22 : 1,789.38 = 748.50 : x
  2. Step 2: Convert to fraction form
    1,193.22/1,789.38 = 748.50/x
  3. Step 3: Cross multiply
    1,193.22x = 1,789.38 × 748.50
  4. Step 4: Simplify right side
    1,193.22x = 1,339,350.93
  5. Step 5: Solve for x
    x = 1,339,350.93/1,193.22
  6. Step 6: Final answer
    x = 1,122.47

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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.