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Finding the Fourth Proportional to 516.72, 774.90 and 380.64

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Solution

The fourth proportional to 516.72, 774.90 and 380.64 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 774.90 = 380.64 : x
  2. Step 2: Convert to fraction form
    516.72/774.90 = 380.64/x
  3. Step 3: Cross multiply
    516.72x = 774.90 × 380.64
  4. Step 4: Simplify right side
    516.72x = 294,957.94
  5. Step 5: Solve for x
    x = 294,957.94/516.72
  6. Step 6: Final answer
    x = 570.83

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