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Finding the Fourth Proportional to 773.74, 1,159.56 and 427.15

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Solution

The fourth proportional to 773.74, 1,159.56 and 427.15 is: 640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.74 : 1,159.56 = 427.15 : x
  2. Step 2: Convert to fraction form
    773.74/1,159.56 = 427.15/x
  3. Step 3: Cross multiply
    773.74x = 1,159.56 × 427.15
  4. Step 4: Simplify right side
    773.74x = 495,306.05
  5. Step 5: Solve for x
    x = 495,306.05/773.74
  6. Step 6: Final answer
    x = 640.15

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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.