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Finding the Fourth Proportional to 769.43, 1,151.64 and 563.95

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Solution

The fourth proportional to 769.43, 1,151.64 and 563.95 is: 844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.43 : 1,151.64 = 563.95 : x
  2. Step 2: Convert to fraction form
    769.43/1,151.64 = 563.95/x
  3. Step 3: Cross multiply
    769.43x = 1,151.64 × 563.95
  4. Step 4: Simplify right side
    769.43x = 649,468.82
  5. Step 5: Solve for x
    x = 649,468.82/769.43
  6. Step 6: Final answer
    x = 844.09

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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.