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Finding the Fourth Proportional to 708.93, 978.15 and 414

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Solution

The fourth proportional to 708.93, 978.15 and 414 is: 571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.93 : 978.15 = 414 : x
  2. Step 2: Convert to fraction form
    708.93/978.15 = 414/x
  3. Step 3: Cross multiply
    708.93x = 978.15 × 414
  4. Step 4: Simplify right side
    708.93x = 404,954.10
  5. Step 5: Solve for x
    x = 404,954.10/708.93
  6. Step 6: Final answer
    x = 571.22

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