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Finding the Fourth Proportional to 1,403, 2,105.64 and 1,198.88

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Solution

The fourth proportional to 1,403, 2,105.64 and 1,198.88 is: 1,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403 : 2,105.64 = 1,198.88 : x
  2. Step 2: Convert to fraction form
    1,403/2,105.64 = 1,198.88/x
  3. Step 3: Cross multiply
    1,403x = 2,105.64 × 1,198.88
  4. Step 4: Simplify right side
    1,403x = 2,524,409.68
  5. Step 5: Solve for x
    x = 2,524,409.68/1,403
  6. Step 6: Final answer
    x = 1,799.29

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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.