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Finding the Fourth Proportional to 1,198.05, 1,653.26 and 725.94

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Solution

The fourth proportional to 1,198.05, 1,653.26 and 725.94 is: 1,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.05 : 1,653.26 = 725.94 : x
  2. Step 2: Convert to fraction form
    1,198.05/1,653.26 = 725.94/x
  3. Step 3: Cross multiply
    1,198.05x = 1,653.26 × 725.94
  4. Step 4: Simplify right side
    1,198.05x = 1,200,163.93
  5. Step 5: Solve for x
    x = 1,200,163.93/1,198.05
  6. Step 6: Final answer
    x = 1,001.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.