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Finding the Fourth Proportional to 773.95, 1,159.78 and 567.55

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Solution

The fourth proportional to 773.95, 1,159.78 and 567.55 is: 850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.95 : 1,159.78 = 567.55 : x
  2. Step 2: Convert to fraction form
    773.95/1,159.78 = 567.55/x
  3. Step 3: Cross multiply
    773.95x = 1,159.78 × 567.55
  4. Step 4: Simplify right side
    773.95x = 658,228.82
  5. Step 5: Solve for x
    x = 658,228.82/773.95
  6. Step 6: Final answer
    x = 850.48

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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.