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Finding the Fourth Proportional to 683.44, 1,025.58 and 409.60

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Solution

The fourth proportional to 683.44, 1,025.58 and 409.60 is: 614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.44 : 1,025.58 = 409.60 : x
  2. Step 2: Convert to fraction form
    683.44/1,025.58 = 409.60/x
  3. Step 3: Cross multiply
    683.44x = 1,025.58 × 409.60
  4. Step 4: Simplify right side
    683.44x = 420,077.57
  5. Step 5: Solve for x
    x = 420,077.57/683.44
  6. Step 6: Final answer
    x = 614.65

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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.