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Finding the Fourth Proportional to 683.64, 1,024.92 and 272.52

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Solution

The fourth proportional to 683.64, 1,024.92 and 272.52 is: 408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.64 : 1,024.92 = 272.52 : x
  2. Step 2: Convert to fraction form
    683.64/1,024.92 = 272.52/x
  3. Step 3: Cross multiply
    683.64x = 1,024.92 × 272.52
  4. Step 4: Simplify right side
    683.64x = 279,311.20
  5. Step 5: Solve for x
    x = 279,311.20/683.64
  6. Step 6: Final answer
    x = 408.56

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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.