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Finding the Fourth Proportional to 682.56, 1,023.71 and 195.50

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Solution

The fourth proportional to 682.56, 1,023.71 and 195.50 is: 293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 1,023.71 = 195.50 : x
  2. Step 2: Convert to fraction form
    682.56/1,023.71 = 195.50/x
  3. Step 3: Cross multiply
    682.56x = 1,023.71 × 195.50
  4. Step 4: Simplify right side
    682.56x = 200,129.21
  5. Step 5: Solve for x
    x = 200,129.21/682.56
  6. Step 6: Final answer
    x = 293.20

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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.