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Finding the Fourth Proportional to 807.36, 1,115.54 and 769.49

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Solution

The fourth proportional to 807.36, 1,115.54 and 769.49 is: 1,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.36 : 1,115.54 = 769.49 : x
  2. Step 2: Convert to fraction form
    807.36/1,115.54 = 769.49/x
  3. Step 3: Cross multiply
    807.36x = 1,115.54 × 769.49
  4. Step 4: Simplify right side
    807.36x = 858,396.87
  5. Step 5: Solve for x
    x = 858,396.87/807.36
  6. Step 6: Final answer
    x = 1,063.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.