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Finding the Fourth Proportional to 805.28, 1,199.86 and 769.88

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Solution

The fourth proportional to 805.28, 1,199.86 and 769.88 is: 1,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.28 : 1,199.86 = 769.88 : x
  2. Step 2: Convert to fraction form
    805.28/1,199.86 = 769.88/x
  3. Step 3: Cross multiply
    805.28x = 1,199.86 × 769.88
  4. Step 4: Simplify right side
    805.28x = 923,748.22
  5. Step 5: Solve for x
    x = 923,748.22/805.28
  6. Step 6: Final answer
    x = 1,147.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.