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Finding the Fourth Proportional to 549.68, 825.93 and 414

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Solution

The fourth proportional to 549.68, 825.93 and 414 is: 622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.68 : 825.93 = 414 : x
  2. Step 2: Convert to fraction form
    549.68/825.93 = 414/x
  3. Step 3: Cross multiply
    549.68x = 825.93 × 414
  4. Step 4: Simplify right side
    549.68x = 341,935.02
  5. Step 5: Solve for x
    x = 341,935.02/549.68
  6. Step 6: Final answer
    x = 622.07

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