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Finding the Fourth Proportional to 769.36, 1,148.09 and 687.52

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Solution

The fourth proportional to 769.36, 1,148.09 and 687.52 is: 1,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.36 : 1,148.09 = 687.52 : x
  2. Step 2: Convert to fraction form
    769.36/1,148.09 = 687.52/x
  3. Step 3: Cross multiply
    769.36x = 1,148.09 × 687.52
  4. Step 4: Simplify right side
    769.36x = 789,334.84
  5. Step 5: Solve for x
    x = 789,334.84/769.36
  6. Step 6: Final answer
    x = 1,025.96

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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.