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Finding the Fourth Proportional to 809, 1,213.54 and 231.92

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Solution

The fourth proportional to 809, 1,213.54 and 231.92 is: 347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    809 : 1,213.54 = 231.92 : x
  2. Step 2: Convert to fraction form
    809/1,213.54 = 231.92/x
  3. Step 3: Cross multiply
    809x = 1,213.54 × 231.92
  4. Step 4: Simplify right side
    809x = 281,444.20
  5. Step 5: Solve for x
    x = 281,444.20/809
  6. Step 6: Final answer
    x = 347.89

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