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Finding the Fourth Proportional to 1,198.38, 1,798.52 and 678.87

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Solution

The fourth proportional to 1,198.38, 1,798.52 and 678.87 is: 1,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.38 : 1,798.52 = 678.87 : x
  2. Step 2: Convert to fraction form
    1,198.38/1,798.52 = 678.87/x
  3. Step 3: Cross multiply
    1,198.38x = 1,798.52 × 678.87
  4. Step 4: Simplify right side
    1,198.38x = 1,220,957.88
  5. Step 5: Solve for x
    x = 1,220,957.88/1,198.38
  6. Step 6: Final answer
    x = 1,018.84

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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.