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Finding the Fourth Proportional to 682.42, 1,023.78 and 195.46

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Solution

The fourth proportional to 682.42, 1,023.78 and 195.46 is: 293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.42 : 1,023.78 = 195.46 : x
  2. Step 2: Convert to fraction form
    682.42/1,023.78 = 195.46/x
  3. Step 3: Cross multiply
    682.42x = 1,023.78 × 195.46
  4. Step 4: Simplify right side
    682.42x = 200,108.04
  5. Step 5: Solve for x
    x = 200,108.04/682.42
  6. Step 6: Final answer
    x = 293.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.