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Finding the Fourth Proportional to 685.44, 1,028.16 and 198.49

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Solution

The fourth proportional to 685.44, 1,028.16 and 198.49 is: 297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.44 : 1,028.16 = 198.49 : x
  2. Step 2: Convert to fraction form
    685.44/1,028.16 = 198.49/x
  3. Step 3: Cross multiply
    685.44x = 1,028.16 × 198.49
  4. Step 4: Simplify right side
    685.44x = 204,079.48
  5. Step 5: Solve for x
    x = 204,079.48/685.44
  6. Step 6: Final answer
    x = 297.74

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1.5x scale

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.