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Finding the Fourth Proportional to 844.64, 1,165.18 and 728

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Solution

The fourth proportional to 844.64, 1,165.18 and 728 is: 1,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.64 : 1,165.18 = 728 : x
  2. Step 2: Convert to fraction form
    844.64/1,165.18 = 728/x
  3. Step 3: Cross multiply
    844.64x = 1,165.18 × 728
  4. Step 4: Simplify right side
    844.64x = 848,251.04
  5. Step 5: Solve for x
    x = 848,251.04/844.64
  6. Step 6: Final answer
    x = 1,004.28

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Why These Related Problems?

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