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Finding the Fourth Proportional to 769.06, 1,151.08 and 563.58

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Solution

The fourth proportional to 769.06, 1,151.08 and 563.58 is: 843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.06 : 1,151.08 = 563.58 : x
  2. Step 2: Convert to fraction form
    769.06/1,151.08 = 563.58/x
  3. Step 3: Cross multiply
    769.06x = 1,151.08 × 563.58
  4. Step 4: Simplify right side
    769.06x = 648,724.26
  5. Step 5: Solve for x
    x = 648,724.26/769.06
  6. Step 6: Final answer
    x = 843.53

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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.