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Finding the Fourth Proportional to 769.73, 1,148.68 and 687.71

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Solution

The fourth proportional to 769.73, 1,148.68 and 687.71 is: 1,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.73 : 1,148.68 = 687.71 : x
  2. Step 2: Convert to fraction form
    769.73/1,148.68 = 687.71/x
  3. Step 3: Cross multiply
    769.73x = 1,148.68 × 687.71
  4. Step 4: Simplify right side
    769.73x = 789,958.72
  5. Step 5: Solve for x
    x = 789,958.72/769.73
  6. Step 6: Final answer
    x = 1,026.28

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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.