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Finding the Fourth Proportional to 1,290.59, 1,932.41 and 769.30

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Solution

The fourth proportional to 1,290.59, 1,932.41 and 769.30 is: 1,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.59 : 1,932.41 = 769.30 : x
  2. Step 2: Convert to fraction form
    1,290.59/1,932.41 = 769.30/x
  3. Step 3: Cross multiply
    1,290.59x = 1,932.41 × 769.30
  4. Step 4: Simplify right side
    1,290.59x = 1,486,600.11
  5. Step 5: Solve for x
    x = 1,486,600.11/1,290.59
  6. Step 6: Final answer
    x = 1,151.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.