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Finding the Fourth Proportional to 1,198.05, 1,794.15 and 988.92

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Solution

The fourth proportional to 1,198.05, 1,794.15 and 988.92 is: 1,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.05 : 1,794.15 = 988.92 : x
  2. Step 2: Convert to fraction form
    1,198.05/1,794.15 = 988.92/x
  3. Step 3: Cross multiply
    1,198.05x = 1,794.15 × 988.92
  4. Step 4: Simplify right side
    1,198.05x = 1,774,270.82
  5. Step 5: Solve for x
    x = 1,774,270.82/1,198.05
  6. Step 6: Final answer
    x = 1,480.97

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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.