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Finding the Fourth Proportional to 1,329.69, 1,834.50 and 769.85

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Solution

The fourth proportional to 1,329.69, 1,834.50 and 769.85 is: 1,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.69 : 1,834.50 = 769.85 : x
  2. Step 2: Convert to fraction form
    1,329.69/1,834.50 = 769.85/x
  3. Step 3: Cross multiply
    1,329.69x = 1,834.50 × 769.85
  4. Step 4: Simplify right side
    1,329.69x = 1,412,296.41
  5. Step 5: Solve for x
    x = 1,412,296.41/1,329.69
  6. Step 6: Final answer
    x = 1,062.12

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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.