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Finding the Fourth Proportional to 844.64, 1,260.91 and 838.82

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Solution

The fourth proportional to 844.64, 1,260.91 and 838.82 is: 1,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.64 : 1,260.91 = 838.82 : x
  2. Step 2: Convert to fraction form
    844.64/1,260.91 = 838.82/x
  3. Step 3: Cross multiply
    844.64x = 1,260.91 × 838.82
  4. Step 4: Simplify right side
    844.64x = 1,057,676.53
  5. Step 5: Solve for x
    x = 1,057,676.53/844.64
  6. Step 6: Final answer
    x = 1,252.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.