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Finding the Fourth Proportional to 773.59, 1,160.87 and 567.65

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Solution

The fourth proportional to 773.59, 1,160.87 and 567.65 is: 851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.59 : 1,160.87 = 567.65 : x
  2. Step 2: Convert to fraction form
    773.59/1,160.87 = 567.65/x
  3. Step 3: Cross multiply
    773.59x = 1,160.87 × 567.65
  4. Step 4: Simplify right side
    773.59x = 658,965.02
  5. Step 5: Solve for x
    x = 658,965.02/773.59
  6. Step 6: Final answer
    x = 851.83

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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.