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Finding the Fourth Proportional to 683.41, 1,025.15 and 189.85

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Solution

The fourth proportional to 683.41, 1,025.15 and 189.85 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.41 : 1,025.15 = 189.85 : x
  2. Step 2: Convert to fraction form
    683.41/1,025.15 = 189.85/x
  3. Step 3: Cross multiply
    683.41x = 1,025.15 × 189.85
  4. Step 4: Simplify right side
    683.41x = 194,624.73
  5. Step 5: Solve for x
    x = 194,624.73/683.41
  6. Step 6: Final answer
    x = 284.78

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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.