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Finding the Fourth Proportional to 888.50, 1,327.36 and 742.70

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Solution

The fourth proportional to 888.50, 1,327.36 and 742.70 is: 1,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.50 : 1,327.36 = 742.70 : x
  2. Step 2: Convert to fraction form
    888.50/1,327.36 = 742.70/x
  3. Step 3: Cross multiply
    888.50x = 1,327.36 × 742.70
  4. Step 4: Simplify right side
    888.50x = 985,830.27
  5. Step 5: Solve for x
    x = 985,830.27/888.50
  6. Step 6: Final answer
    x = 1,109.54

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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.