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Finding the Fourth Proportional to 512.58, 768.89 and 165.89

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Solution

The fourth proportional to 512.58, 768.89 and 165.89 is: 248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 768.89 = 165.89 : x
  2. Step 2: Convert to fraction form
    512.58/768.89 = 165.89/x
  3. Step 3: Cross multiply
    512.58x = 768.89 × 165.89
  4. Step 4: Simplify right side
    512.58x = 127,548.09
  5. Step 5: Solve for x
    x = 127,548.09/512.58
  6. Step 6: Final answer
    x = 248.84

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