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Finding the Fourth Proportional to 1,198.51, 1,796.04 and 678.49

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Solution

The fourth proportional to 1,198.51, 1,796.04 and 678.49 is: 1,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.51 : 1,796.04 = 678.49 : x
  2. Step 2: Convert to fraction form
    1,198.51/1,796.04 = 678.49/x
  3. Step 3: Cross multiply
    1,198.51x = 1,796.04 × 678.49
  4. Step 4: Simplify right side
    1,198.51x = 1,218,595.18
  5. Step 5: Solve for x
    x = 1,218,595.18/1,198.51
  6. Step 6: Final answer
    x = 1,016.76

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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.