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Finding the Fourth Proportional to 747.54, 1,121.22 and 199.76

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Solution

The fourth proportional to 747.54, 1,121.22 and 199.76 is: 299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.54 : 1,121.22 = 199.76 : x
  2. Step 2: Convert to fraction form
    747.54/1,121.22 = 199.76/x
  3. Step 3: Cross multiply
    747.54x = 1,121.22 × 199.76
  4. Step 4: Simplify right side
    747.54x = 223,973.91
  5. Step 5: Solve for x
    x = 223,973.91/747.54
  6. Step 6: Final answer
    x = 299.61

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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.