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Finding the Fourth Proportional to 1,334.08, 1,992.36 and 1,198

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Solution

The fourth proportional to 1,334.08, 1,992.36 and 1,198 is: 1,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.08 : 1,992.36 = 1,198 : x
  2. Step 2: Convert to fraction form
    1,334.08/1,992.36 = 1,198/x
  3. Step 3: Cross multiply
    1,334.08x = 1,992.36 × 1,198
  4. Step 4: Simplify right side
    1,334.08x = 2,386,847.28
  5. Step 5: Solve for x
    x = 2,386,847.28/1,334.08
  6. Step 6: Final answer
    x = 1,789.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.