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Finding the Fourth Proportional to 462.71, 694.10 and 257.18

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Solution

The fourth proportional to 462.71, 694.10 and 257.18 is: 385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.71 : 694.10 = 257.18 : x
  2. Step 2: Convert to fraction form
    462.71/694.10 = 257.18/x
  3. Step 3: Cross multiply
    462.71x = 694.10 × 257.18
  4. Step 4: Simplify right side
    462.71x = 178,505.81
  5. Step 5: Solve for x
    x = 178,505.81/462.71
  6. Step 6: Final answer
    x = 385.78

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