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Finding the Fourth Proportional to 773.85, 1,161.09 and 449.49

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Solution

The fourth proportional to 773.85, 1,161.09 and 449.49 is: 674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.85 : 1,161.09 = 449.49 : x
  2. Step 2: Convert to fraction form
    773.85/1,161.09 = 449.49/x
  3. Step 3: Cross multiply
    773.85x = 1,161.09 × 449.49
  4. Step 4: Simplify right side
    773.85x = 521,898.34
  5. Step 5: Solve for x
    x = 521,898.34/773.85
  6. Step 6: Final answer
    x = 674.42

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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.