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Finding the Fourth Proportional to 768.39, 1,144.76 and 742.29

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Solution

The fourth proportional to 768.39, 1,144.76 and 742.29 is: 1,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.39 : 1,144.76 = 742.29 : x
  2. Step 2: Convert to fraction form
    768.39/1,144.76 = 742.29/x
  3. Step 3: Cross multiply
    768.39x = 1,144.76 × 742.29
  4. Step 4: Simplify right side
    768.39x = 849,740.19
  5. Step 5: Solve for x
    x = 849,740.19/768.39
  6. Step 6: Final answer
    x = 1,105.87

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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.