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Finding the Fourth Proportional to 1,650.24, 2,277.32 and 978.08

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Solution

The fourth proportional to 1,650.24, 2,277.32 and 978.08 is: 1,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.24 : 2,277.32 = 978.08 : x
  2. Step 2: Convert to fraction form
    1,650.24/2,277.32 = 978.08/x
  3. Step 3: Cross multiply
    1,650.24x = 2,277.32 × 978.08
  4. Step 4: Simplify right side
    1,650.24x = 2,227,384.87
  5. Step 5: Solve for x
    x = 2,227,384.87/1,650.24
  6. Step 6: Final answer
    x = 1,349.73

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