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Finding the Fourth Proportional to 683.38, 1,023.48 and 439.18

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Solution

The fourth proportional to 683.38, 1,023.48 and 439.18 is: 657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.38 : 1,023.48 = 439.18 : x
  2. Step 2: Convert to fraction form
    683.38/1,023.48 = 439.18/x
  3. Step 3: Cross multiply
    683.38x = 1,023.48 × 439.18
  4. Step 4: Simplify right side
    683.38x = 449,491.95
  5. Step 5: Solve for x
    x = 449,491.95/683.38
  6. Step 6: Final answer
    x = 657.75

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1.5x scale

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.