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Finding the Fourth Proportional to 683.86, 1,025.38 and 273.06

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Solution

The fourth proportional to 683.86, 1,025.38 and 273.06 is: 409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.86 : 1,025.38 = 273.06 : x
  2. Step 2: Convert to fraction form
    683.86/1,025.38 = 273.06/x
  3. Step 3: Cross multiply
    683.86x = 1,025.38 × 273.06
  4. Step 4: Simplify right side
    683.86x = 279,990.26
  5. Step 5: Solve for x
    x = 279,990.26/683.86
  6. Step 6: Final answer
    x = 409.43

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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.