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Finding the Fourth Proportional to 684.65, 1,027.15 and 273.68

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Solution

The fourth proportional to 684.65, 1,027.15 and 273.68 is: 410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.65 : 1,027.15 = 273.68 : x
  2. Step 2: Convert to fraction form
    684.65/1,027.15 = 273.68/x
  3. Step 3: Cross multiply
    684.65x = 1,027.15 × 273.68
  4. Step 4: Simplify right side
    684.65x = 281,108.44
  5. Step 5: Solve for x
    x = 281,108.44/684.65
  6. Step 6: Final answer
    x = 410.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.