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Finding the Fourth Proportional to 773.60, 1,159.16 and 426.42

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Solution

The fourth proportional to 773.60, 1,159.16 and 426.42 is: 638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.60 : 1,159.16 = 426.42 : x
  2. Step 2: Convert to fraction form
    773.60/1,159.16 = 426.42/x
  3. Step 3: Cross multiply
    773.60x = 1,159.16 × 426.42
  4. Step 4: Simplify right side
    773.60x = 494,286.88
  5. Step 5: Solve for x
    x = 494,286.88/773.60
  6. Step 6: Final answer
    x = 638.95

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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.