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Finding the Fourth Proportional to 1,227.10, 1,836.40 and 758.38

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Solution

The fourth proportional to 1,227.10, 1,836.40 and 758.38 is: 1,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.10 : 1,836.40 = 758.38 : x
  2. Step 2: Convert to fraction form
    1,227.10/1,836.40 = 758.38/x
  3. Step 3: Cross multiply
    1,227.10x = 1,836.40 × 758.38
  4. Step 4: Simplify right side
    1,227.10x = 1,392,689.03
  5. Step 5: Solve for x
    x = 1,392,689.03/1,227.10
  6. Step 6: Final answer
    x = 1,134.94

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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.