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Finding the Fourth Proportional to 684.80, 1,027.34 and 197.88

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Solution

The fourth proportional to 684.80, 1,027.34 and 197.88 is: 296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.80 : 1,027.34 = 197.88 : x
  2. Step 2: Convert to fraction form
    684.80/1,027.34 = 197.88/x
  3. Step 3: Cross multiply
    684.80x = 1,027.34 × 197.88
  4. Step 4: Simplify right side
    684.80x = 203,290.04
  5. Step 5: Solve for x
    x = 203,290.04/684.80
  6. Step 6: Final answer
    x = 296.86

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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.