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Finding the Fourth Proportional to 1,645.75, 2,468.09 and 549.82

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Solution

The fourth proportional to 1,645.75, 2,468.09 and 549.82 is: 824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.75 : 2,468.09 = 549.82 : x
  2. Step 2: Convert to fraction form
    1,645.75/2,468.09 = 549.82/x
  3. Step 3: Cross multiply
    1,645.75x = 2,468.09 × 549.82
  4. Step 4: Simplify right side
    1,645.75x = 1,357,005.24
  5. Step 5: Solve for x
    x = 1,357,005.24/1,645.75
  6. Step 6: Final answer
    x = 824.55

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