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Finding the Fourth Proportional to 766.99, 1,149.11 and 321.27

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Solution

The fourth proportional to 766.99, 1,149.11 and 321.27 is: 481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.99 : 1,149.11 = 321.27 : x
  2. Step 2: Convert to fraction form
    766.99/1,149.11 = 321.27/x
  3. Step 3: Cross multiply
    766.99x = 1,149.11 × 321.27
  4. Step 4: Simplify right side
    766.99x = 369,174.96
  5. Step 5: Solve for x
    x = 369,174.96/766.99
  6. Step 6: Final answer
    x = 481.33

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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.