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Finding the Fourth Proportional to 683.04, 1,023.94 and 409.66

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Solution

The fourth proportional to 683.04, 1,023.94 and 409.66 is: 614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.04 : 1,023.94 = 409.66 : x
  2. Step 2: Convert to fraction form
    683.04/1,023.94 = 409.66/x
  3. Step 3: Cross multiply
    683.04x = 1,023.94 × 409.66
  4. Step 4: Simplify right side
    683.04x = 419,467.26
  5. Step 5: Solve for x
    x = 419,467.26/683.04
  6. Step 6: Final answer
    x = 614.12

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