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Finding the Fourth Proportional to 684.88, 1,027.38 and 273.92

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Solution

The fourth proportional to 684.88, 1,027.38 and 273.92 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.88 : 1,027.38 = 273.92 : x
  2. Step 2: Convert to fraction form
    684.88/1,027.38 = 273.92/x
  3. Step 3: Cross multiply
    684.88x = 1,027.38 × 273.92
  4. Step 4: Simplify right side
    684.88x = 281,419.93
  5. Step 5: Solve for x
    x = 281,419.93/684.88
  6. Step 6: Final answer
    x = 410.90

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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.