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Finding the Fourth Proportional to 523.66, 723 and 405.43

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Solution

The fourth proportional to 523.66, 723 and 405.43 is: 559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.66 : 723 = 405.43 : x
  2. Step 2: Convert to fraction form
    523.66/723 = 405.43/x
  3. Step 3: Cross multiply
    523.66x = 723 × 405.43
  4. Step 4: Simplify right side
    523.66x = 293,125.89
  5. Step 5: Solve for x
    x = 293,125.89/523.66
  6. Step 6: Final answer
    x = 559.76

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