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Finding the Fourth Proportional to 769.67, 1,059.07 and 748.14

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Solution

The fourth proportional to 769.67, 1,059.07 and 748.14 is: 1,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.67 : 1,059.07 = 748.14 : x
  2. Step 2: Convert to fraction form
    769.67/1,059.07 = 748.14/x
  3. Step 3: Cross multiply
    769.67x = 1,059.07 × 748.14
  4. Step 4: Simplify right side
    769.67x = 792,332.75
  5. Step 5: Solve for x
    x = 792,332.75/769.67
  6. Step 6: Final answer
    x = 1,029.44

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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.