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Finding the Fourth Proportional to 458.78, 687.74 and 170

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Solution

The fourth proportional to 458.78, 687.74 and 170 is: 254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 687.74 = 170 : x
  2. Step 2: Convert to fraction form
    458.78/687.74 = 170/x
  3. Step 3: Cross multiply
    458.78x = 687.74 × 170
  4. Step 4: Simplify right side
    458.78x = 116,915.80
  5. Step 5: Solve for x
    x = 116,915.80/458.78
  6. Step 6: Final answer
    x = 254.84

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