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Finding the Fourth Proportional to 808.97, 1,213.48 and 672.97

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Solution

The fourth proportional to 808.97, 1,213.48 and 672.97 is: 1,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.97 : 1,213.48 = 672.97 : x
  2. Step 2: Convert to fraction form
    808.97/1,213.48 = 672.97/x
  3. Step 3: Cross multiply
    808.97x = 1,213.48 × 672.97
  4. Step 4: Simplify right side
    808.97x = 816,629.57
  5. Step 5: Solve for x
    x = 816,629.57/808.97
  6. Step 6: Final answer
    x = 1,009.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.