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Finding the Fourth Proportional to 682.38, 1,023.50 and 195.44

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Solution

The fourth proportional to 682.38, 1,023.50 and 195.44 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 1,023.50 = 195.44 : x
  2. Step 2: Convert to fraction form
    682.38/1,023.50 = 195.44/x
  3. Step 3: Cross multiply
    682.38x = 1,023.50 × 195.44
  4. Step 4: Simplify right side
    682.38x = 200,032.84
  5. Step 5: Solve for x
    x = 200,032.84/682.38
  6. Step 6: Final answer
    x = 293.14

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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.