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Finding the Fourth Proportional to 1,187.97, 1,782.72 and 640.53

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Solution

The fourth proportional to 1,187.97, 1,782.72 and 640.53 is: 961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.97 : 1,782.72 = 640.53 : x
  2. Step 2: Convert to fraction form
    1,187.97/1,782.72 = 640.53/x
  3. Step 3: Cross multiply
    1,187.97x = 1,782.72 × 640.53
  4. Step 4: Simplify right side
    1,187.97x = 1,141,885.64
  5. Step 5: Solve for x
    x = 1,141,885.64/1,187.97
  6. Step 6: Final answer
    x = 961.21

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