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Finding the Fourth Proportional to 1,100.79, 1,642.68 and 978.08

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Solution

The fourth proportional to 1,100.79, 1,642.68 and 978.08 is: 1,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.79 : 1,642.68 = 978.08 : x
  2. Step 2: Convert to fraction form
    1,100.79/1,642.68 = 978.08/x
  3. Step 3: Cross multiply
    1,100.79x = 1,642.68 × 978.08
  4. Step 4: Simplify right side
    1,100.79x = 1,606,664.24
  5. Step 5: Solve for x
    x = 1,606,664.24/1,100.79
  6. Step 6: Final answer
    x = 1,459.56

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