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Finding the Fourth Proportional to 414.72, 571.76 and 296.87

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Solution

The fourth proportional to 414.72, 571.76 and 296.87 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 571.76 = 296.87 : x
  2. Step 2: Convert to fraction form
    414.72/571.76 = 296.87/x
  3. Step 3: Cross multiply
    414.72x = 571.76 × 296.87
  4. Step 4: Simplify right side
    414.72x = 169,735.16
  5. Step 5: Solve for x
    x = 169,735.16/414.72
  6. Step 6: Final answer
    x = 409.28

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