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Finding the Fourth Proportional to 773.52, 1,159.11 and 567.78

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Solution

The fourth proportional to 773.52, 1,159.11 and 567.78 is: 850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,159.11 = 567.78 : x
  2. Step 2: Convert to fraction form
    773.52/1,159.11 = 567.78/x
  3. Step 3: Cross multiply
    773.52x = 1,159.11 × 567.78
  4. Step 4: Simplify right side
    773.52x = 658,119.48
  5. Step 5: Solve for x
    x = 658,119.48/773.52
  6. Step 6: Final answer
    x = 850.81

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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.