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Finding the Fourth Proportional to 774.78, 1,161.72 and 449.97

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Solution

The fourth proportional to 774.78, 1,161.72 and 449.97 is: 674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.78 : 1,161.72 = 449.97 : x
  2. Step 2: Convert to fraction form
    774.78/1,161.72 = 449.97/x
  3. Step 3: Cross multiply
    774.78x = 1,161.72 × 449.97
  4. Step 4: Simplify right side
    774.78x = 522,739.15
  5. Step 5: Solve for x
    x = 522,739.15/774.78
  6. Step 6: Final answer
    x = 674.69

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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.