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Finding the Fourth Proportional to 680.82, 1,020.66 and 315.42

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Solution

The fourth proportional to 680.82, 1,020.66 and 315.42 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.82 : 1,020.66 = 315.42 : x
  2. Step 2: Convert to fraction form
    680.82/1,020.66 = 315.42/x
  3. Step 3: Cross multiply
    680.82x = 1,020.66 × 315.42
  4. Step 4: Simplify right side
    680.82x = 321,936.58
  5. Step 5: Solve for x
    x = 321,936.58/680.82
  6. Step 6: Final answer
    x = 472.87

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