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Finding the Fourth Proportional to 538.83, 807.84 and 264.78

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Solution

The fourth proportional to 538.83, 807.84 and 264.78 is: 396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.83 : 807.84 = 264.78 : x
  2. Step 2: Convert to fraction form
    538.83/807.84 = 264.78/x
  3. Step 3: Cross multiply
    538.83x = 807.84 × 264.78
  4. Step 4: Simplify right side
    538.83x = 213,899.88
  5. Step 5: Solve for x
    x = 213,899.88/538.83
  6. Step 6: Final answer
    x = 396.97

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