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Finding the Fourth Proportional to 590.77, 885.60 and 205.75

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Solution

The fourth proportional to 590.77, 885.60 and 205.75 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.77 : 885.60 = 205.75 : x
  2. Step 2: Convert to fraction form
    590.77/885.60 = 205.75/x
  3. Step 3: Cross multiply
    590.77x = 885.60 × 205.75
  4. Step 4: Simplify right side
    590.77x = 182,212.20
  5. Step 5: Solve for x
    x = 182,212.20/590.77
  6. Step 6: Final answer
    x = 308.43

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