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Finding the Fourth Proportional to 1,034.39, 1,429.47 and 769.23

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Solution

The fourth proportional to 1,034.39, 1,429.47 and 769.23 is: 1,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.39 : 1,429.47 = 769.23 : x
  2. Step 2: Convert to fraction form
    1,034.39/1,429.47 = 769.23/x
  3. Step 3: Cross multiply
    1,034.39x = 1,429.47 × 769.23
  4. Step 4: Simplify right side
    1,034.39x = 1,099,591.21
  5. Step 5: Solve for x
    x = 1,099,591.21/1,034.39
  6. Step 6: Final answer
    x = 1,063.03

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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.