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Finding the Fourth Proportional to 685.12, 1,027.72 and 198.17

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Solution

The fourth proportional to 685.12, 1,027.72 and 198.17 is: 297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.12 : 1,027.72 = 198.17 : x
  2. Step 2: Convert to fraction form
    685.12/1,027.72 = 198.17/x
  3. Step 3: Cross multiply
    685.12x = 1,027.72 × 198.17
  4. Step 4: Simplify right side
    685.12x = 203,663.27
  5. Step 5: Solve for x
    x = 203,663.27/685.12
  6. Step 6: Final answer
    x = 297.27

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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.