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Finding the Fourth Proportional to 585.04, 807.68 and 405.84

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Solution

The fourth proportional to 585.04, 807.68 and 405.84 is: 560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.04 : 807.68 = 405.84 : x
  2. Step 2: Convert to fraction form
    585.04/807.68 = 405.84/x
  3. Step 3: Cross multiply
    585.04x = 807.68 × 405.84
  4. Step 4: Simplify right side
    585.04x = 327,793.47
  5. Step 5: Solve for x
    x = 327,793.47/585.04
  6. Step 6: Final answer
    x = 560.29

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