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Finding the Fourth Proportional to 1,198.12, 1,798.26 and 650.70

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Solution

The fourth proportional to 1,198.12, 1,798.26 and 650.70 is: 976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.12 : 1,798.26 = 650.70 : x
  2. Step 2: Convert to fraction form
    1,198.12/1,798.26 = 650.70/x
  3. Step 3: Cross multiply
    1,198.12x = 1,798.26 × 650.70
  4. Step 4: Simplify right side
    1,198.12x = 1,170,127.78
  5. Step 5: Solve for x
    x = 1,170,127.78/1,198.12
  6. Step 6: Final answer
    x = 976.64

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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.