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Finding the Fourth Proportional to 649, 896 and 494.04

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Solution

The fourth proportional to 649, 896 and 494.04 is: 682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649 : 896 = 494.04 : x
  2. Step 2: Convert to fraction form
    649/896 = 494.04/x
  3. Step 3: Cross multiply
    649x = 896 × 494.04
  4. Step 4: Simplify right side
    649x = 442,659.84
  5. Step 5: Solve for x
    x = 442,659.84/649
  6. Step 6: Final answer
    x = 682.06

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