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Finding the Fourth Proportional to 818.47, 1,224.60 and 769.24

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Solution

The fourth proportional to 818.47, 1,224.60 and 769.24 is: 1,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.47 : 1,224.60 = 769.24 : x
  2. Step 2: Convert to fraction form
    818.47/1,224.60 = 769.24/x
  3. Step 3: Cross multiply
    818.47x = 1,224.60 × 769.24
  4. Step 4: Simplify right side
    818.47x = 942,011.30
  5. Step 5: Solve for x
    x = 942,011.30/818.47
  6. Step 6: Final answer
    x = 1,150.94

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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.