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Finding the Fourth Proportional to 1,198.66, 1,797.96 and 1,171.30

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Solution

The fourth proportional to 1,198.66, 1,797.96 and 1,171.30 is: 1,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.66 : 1,797.96 = 1,171.30 : x
  2. Step 2: Convert to fraction form
    1,198.66/1,797.96 = 1,171.30/x
  3. Step 3: Cross multiply
    1,198.66x = 1,797.96 × 1,171.30
  4. Step 4: Simplify right side
    1,198.66x = 2,105,950.55
  5. Step 5: Solve for x
    x = 2,105,950.55/1,198.66
  6. Step 6: Final answer
    x = 1,756.92

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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.