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Finding the Fourth Proportional to 709.26, 978.78 and 414.47

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Solution

The fourth proportional to 709.26, 978.78 and 414.47 is: 571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.26 : 978.78 = 414.47 : x
  2. Step 2: Convert to fraction form
    709.26/978.78 = 414.47/x
  3. Step 3: Cross multiply
    709.26x = 978.78 × 414.47
  4. Step 4: Simplify right side
    709.26x = 405,674.95
  5. Step 5: Solve for x
    x = 405,674.95/709.26
  6. Step 6: Final answer
    x = 571.97

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