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Finding the Fourth Proportional to 1,238.48, 1,855.79 and 826.09

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Solution

The fourth proportional to 1,238.48, 1,855.79 and 826.09 is: 1,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.48 : 1,855.79 = 826.09 : x
  2. Step 2: Convert to fraction form
    1,238.48/1,855.79 = 826.09/x
  3. Step 3: Cross multiply
    1,238.48x = 1,855.79 × 826.09
  4. Step 4: Simplify right side
    1,238.48x = 1,533,049.56
  5. Step 5: Solve for x
    x = 1,533,049.56/1,238.48
  6. Step 6: Final answer
    x = 1,237.85

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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.