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Finding the Fourth Proportional to 769.20, 1,153.85 and 276.01

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Solution

The fourth proportional to 769.20, 1,153.85 and 276.01 is: 414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.20 : 1,153.85 = 276.01 : x
  2. Step 2: Convert to fraction form
    769.20/1,153.85 = 276.01/x
  3. Step 3: Cross multiply
    769.20x = 1,153.85 × 276.01
  4. Step 4: Simplify right side
    769.20x = 318,469.87
  5. Step 5: Solve for x
    x = 318,469.87/769.20
  6. Step 6: Final answer
    x = 414.03

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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.