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Finding the Fourth Proportional to 1,198.60, 1,653.81 and 806.74

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Solution

The fourth proportional to 1,198.60, 1,653.81 and 806.74 is: 1,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.60 : 1,653.81 = 806.74 : x
  2. Step 2: Convert to fraction form
    1,198.60/1,653.81 = 806.74/x
  3. Step 3: Cross multiply
    1,198.60x = 1,653.81 × 806.74
  4. Step 4: Simplify right side
    1,198.60x = 1,334,194.68
  5. Step 5: Solve for x
    x = 1,334,194.68/1,198.60
  6. Step 6: Final answer
    x = 1,113.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.