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Finding the Fourth Proportional to 420.68, 629.79 and 296.75

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Solution

The fourth proportional to 420.68, 629.79 and 296.75 is: 444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.68 : 629.79 = 296.75 : x
  2. Step 2: Convert to fraction form
    420.68/629.79 = 296.75/x
  3. Step 3: Cross multiply
    420.68x = 629.79 × 296.75
  4. Step 4: Simplify right side
    420.68x = 186,887.03
  5. Step 5: Solve for x
    x = 186,887.03/420.68
  6. Step 6: Final answer
    x = 444.26

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