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Finding the Fourth Proportional to 683.59, 1,025.36 and 440.29

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Solution

The fourth proportional to 683.59, 1,025.36 and 440.29 is: 660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.59 : 1,025.36 = 440.29 : x
  2. Step 2: Convert to fraction form
    683.59/1,025.36 = 440.29/x
  3. Step 3: Cross multiply
    683.59x = 1,025.36 × 440.29
  4. Step 4: Simplify right side
    683.59x = 451,450.72
  5. Step 5: Solve for x
    x = 451,450.72/683.59
  6. Step 6: Final answer
    x = 660.41

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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.