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Finding the Fourth Proportional to 789.78, 1,184.17 and 378.91

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Solution

The fourth proportional to 789.78, 1,184.17 and 378.91 is: 568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.78 : 1,184.17 = 378.91 : x
  2. Step 2: Convert to fraction form
    789.78/1,184.17 = 378.91/x
  3. Step 3: Cross multiply
    789.78x = 1,184.17 × 378.91
  4. Step 4: Simplify right side
    789.78x = 448,693.85
  5. Step 5: Solve for x
    x = 448,693.85/789.78
  6. Step 6: Final answer
    x = 568.13

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