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Finding the Fourth Proportional to 684.71, 1,027.42 and 273.84

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Solution

The fourth proportional to 684.71, 1,027.42 and 273.84 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.71 : 1,027.42 = 273.84 : x
  2. Step 2: Convert to fraction form
    684.71/1,027.42 = 273.84/x
  3. Step 3: Cross multiply
    684.71x = 1,027.42 × 273.84
  4. Step 4: Simplify right side
    684.71x = 281,349.38
  5. Step 5: Solve for x
    x = 281,349.38/684.71
  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.