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Finding the Fourth Proportional to 1,198.16, 1,796.16 and 649.92

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Solution

The fourth proportional to 1,198.16, 1,796.16 and 649.92 is: 974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.16 : 1,796.16 = 649.92 : x
  2. Step 2: Convert to fraction form
    1,198.16/1,796.16 = 649.92/x
  3. Step 3: Cross multiply
    1,198.16x = 1,796.16 × 649.92
  4. Step 4: Simplify right side
    1,198.16x = 1,167,360.31
  5. Step 5: Solve for x
    x = 1,167,360.31/1,198.16
  6. Step 6: Final answer
    x = 974.29

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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.