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Finding the Fourth Proportional to 844.26, 1,164.98 and 490.08

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Solution

The fourth proportional to 844.26, 1,164.98 and 490.08 is: 676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.26 : 1,164.98 = 490.08 : x
  2. Step 2: Convert to fraction form
    844.26/1,164.98 = 490.08/x
  3. Step 3: Cross multiply
    844.26x = 1,164.98 × 490.08
  4. Step 4: Simplify right side
    844.26x = 570,938.99
  5. Step 5: Solve for x
    x = 570,938.99/844.26
  6. Step 6: Final answer
    x = 676.26

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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.