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Finding the Fourth Proportional to 1,366.80, 1,886.33 and 769.31

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Solution

The fourth proportional to 1,366.80, 1,886.33 and 769.31 is: 1,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.80 : 1,886.33 = 769.31 : x
  2. Step 2: Convert to fraction form
    1,366.80/1,886.33 = 769.31/x
  3. Step 3: Cross multiply
    1,366.80x = 1,886.33 × 769.31
  4. Step 4: Simplify right side
    1,366.80x = 1,451,170.05
  5. Step 5: Solve for x
    x = 1,451,170.05/1,366.80
  6. Step 6: Final answer
    x = 1,061.73

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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.