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Finding the Fourth Proportional to 769.56, 1,154.16 and 495.78

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Solution

The fourth proportional to 769.56, 1,154.16 and 495.78 is: 743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.56 : 1,154.16 = 495.78 : x
  2. Step 2: Convert to fraction form
    769.56/1,154.16 = 495.78/x
  3. Step 3: Cross multiply
    769.56x = 1,154.16 × 495.78
  4. Step 4: Simplify right side
    769.56x = 572,209.44
  5. Step 5: Solve for x
    x = 572,209.44/769.56
  6. Step 6: Final answer
    x = 743.55

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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.