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Finding the Fourth Proportional to 807.75, 1,213.29 and 768.42

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Solution

The fourth proportional to 807.75, 1,213.29 and 768.42 is: 1,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.75 : 1,213.29 = 768.42 : x
  2. Step 2: Convert to fraction form
    807.75/1,213.29 = 768.42/x
  3. Step 3: Cross multiply
    807.75x = 1,213.29 × 768.42
  4. Step 4: Simplify right side
    807.75x = 932,316.30
  5. Step 5: Solve for x
    x = 932,316.30/807.75
  6. Step 6: Final answer
    x = 1,154.21

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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.