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Finding the Fourth Proportional to 683.22, 1,023.96 and 249.90

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Solution

The fourth proportional to 683.22, 1,023.96 and 249.90 is: 374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.22 : 1,023.96 = 249.90 : x
  2. Step 2: Convert to fraction form
    683.22/1,023.96 = 249.90/x
  3. Step 3: Cross multiply
    683.22x = 1,023.96 × 249.90
  4. Step 4: Simplify right side
    683.22x = 255,887.60
  5. Step 5: Solve for x
    x = 255,887.60/683.22
  6. Step 6: Final answer
    x = 374.53

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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.