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Finding the Fourth Proportional to 682.82, 1,024.40 and 195.87

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Solution

The fourth proportional to 682.82, 1,024.40 and 195.87 is: 293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.82 : 1,024.40 = 195.87 : x
  2. Step 2: Convert to fraction form
    682.82/1,024.40 = 195.87/x
  3. Step 3: Cross multiply
    682.82x = 1,024.40 × 195.87
  4. Step 4: Simplify right side
    682.82x = 200,648.25
  5. Step 5: Solve for x
    x = 200,648.25/682.82
  6. Step 6: Final answer
    x = 293.85

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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.