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Finding the Fourth Proportional to 862.80, 1,285.82 and 844.31

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Solution

The fourth proportional to 862.80, 1,285.82 and 844.31 is: 1,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.80 : 1,285.82 = 844.31 : x
  2. Step 2: Convert to fraction form
    862.80/1,285.82 = 844.31/x
  3. Step 3: Cross multiply
    862.80x = 1,285.82 × 844.31
  4. Step 4: Simplify right side
    862.80x = 1,085,620.03
  5. Step 5: Solve for x
    x = 1,085,620.03/862.80
  6. Step 6: Final answer
    x = 1,258.25

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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.