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Finding the Fourth Proportional to 844.04, 1,164.78 and 494.90

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Solution

The fourth proportional to 844.04, 1,164.78 and 494.90 is: 682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.04 : 1,164.78 = 494.90 : x
  2. Step 2: Convert to fraction form
    844.04/1,164.78 = 494.90/x
  3. Step 3: Cross multiply
    844.04x = 1,164.78 × 494.90
  4. Step 4: Simplify right side
    844.04x = 576,449.62
  5. Step 5: Solve for x
    x = 576,449.62/844.04
  6. Step 6: Final answer
    x = 682.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.