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Finding the Fourth Proportional to 683.45, 1,025.36 and 196.54

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Solution

The fourth proportional to 683.45, 1,025.36 and 196.54 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.45 : 1,025.36 = 196.54 : x
  2. Step 2: Convert to fraction form
    683.45/1,025.36 = 196.54/x
  3. Step 3: Cross multiply
    683.45x = 1,025.36 × 196.54
  4. Step 4: Simplify right side
    683.45x = 201,523.27
  5. Step 5: Solve for x
    x = 201,523.27/683.45
  6. Step 6: Final answer
    x = 294.86

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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.