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Finding the Fourth Proportional to 805.97, 1,198.08 and 782.33

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Solution

The fourth proportional to 805.97, 1,198.08 and 782.33 is: 1,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.97 : 1,198.08 = 782.33 : x
  2. Step 2: Convert to fraction form
    805.97/1,198.08 = 782.33/x
  3. Step 3: Cross multiply
    805.97x = 1,198.08 × 782.33
  4. Step 4: Simplify right side
    805.97x = 937,287.94
  5. Step 5: Solve for x
    x = 937,287.94/805.97
  6. Step 6: Final answer
    x = 1,162.94

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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.