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Finding the Fourth Proportional to 1,198.25, 1,653.60 and 674.27

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Solution

The fourth proportional to 1,198.25, 1,653.60 and 674.27 is: 930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.25 : 1,653.60 = 674.27 : x
  2. Step 2: Convert to fraction form
    1,198.25/1,653.60 = 674.27/x
  3. Step 3: Cross multiply
    1,198.25x = 1,653.60 × 674.27
  4. Step 4: Simplify right side
    1,198.25x = 1,114,972.87
  5. Step 5: Solve for x
    x = 1,114,972.87/1,198.25
  6. Step 6: Final answer
    x = 930.50

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Double scale
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1.5x scale

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.