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Finding the Fourth Proportional to 516.91, 774.64 and 285.75

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Solution

The fourth proportional to 516.91, 774.64 and 285.75 is: 428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.91 : 774.64 = 285.75 : x
  2. Step 2: Convert to fraction form
    516.91/774.64 = 285.75/x
  3. Step 3: Cross multiply
    516.91x = 774.64 × 285.75
  4. Step 4: Simplify right side
    516.91x = 221,355.11
  5. Step 5: Solve for x
    x = 221,355.11/516.91
  6. Step 6: Final answer
    x = 428.23

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