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Finding the Fourth Proportional to 509.97, 765 and 144.75

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Solution

The fourth proportional to 509.97, 765 and 144.75 is: 217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.97 : 765 = 144.75 : x
  2. Step 2: Convert to fraction form
    509.97/765 = 144.75/x
  3. Step 3: Cross multiply
    509.97x = 765 × 144.75
  4. Step 4: Simplify right side
    509.97x = 110,733.75
  5. Step 5: Solve for x
    x = 110,733.75/509.97
  6. Step 6: Final answer
    x = 217.14

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