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Finding the Fourth Proportional to 1,238.24, 1,856.69 and 544.11

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Solution

The fourth proportional to 1,238.24, 1,856.69 and 544.11 is: 815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.24 : 1,856.69 = 544.11 : x
  2. Step 2: Convert to fraction form
    1,238.24/1,856.69 = 544.11/x
  3. Step 3: Cross multiply
    1,238.24x = 1,856.69 × 544.11
  4. Step 4: Simplify right side
    1,238.24x = 1,010,235.95
  5. Step 5: Solve for x
    x = 1,010,235.95/1,238.24
  6. Step 6: Final answer
    x = 815.87

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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.