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Finding the Fourth Proportional to 522.54, 783.74 and 137.82

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Solution

The fourth proportional to 522.54, 783.74 and 137.82 is: 206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.54 : 783.74 = 137.82 : x
  2. Step 2: Convert to fraction form
    522.54/783.74 = 137.82/x
  3. Step 3: Cross multiply
    522.54x = 783.74 × 137.82
  4. Step 4: Simplify right side
    522.54x = 108,015.05
  5. Step 5: Solve for x
    x = 108,015.05/522.54
  6. Step 6: Final answer
    x = 206.71

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