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Finding the Fourth Proportional to 688, 1,032.12 and 255.18

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Solution

The fourth proportional to 688, 1,032.12 and 255.18 is: 382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    688 : 1,032.12 = 255.18 : x
  2. Step 2: Convert to fraction form
    688/1,032.12 = 255.18/x
  3. Step 3: Cross multiply
    688x = 1,032.12 × 255.18
  4. Step 4: Simplify right side
    688x = 263,376.38
  5. Step 5: Solve for x
    x = 263,376.38/688
  6. Step 6: Final answer
    x = 382.81

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