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Finding the Fourth Proportional to 854.69, 1,286.55 and 729.41

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Solution

The fourth proportional to 854.69, 1,286.55 and 729.41 is: 1,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.69 : 1,286.55 = 729.41 : x
  2. Step 2: Convert to fraction form
    854.69/1,286.55 = 729.41/x
  3. Step 3: Cross multiply
    854.69x = 1,286.55 × 729.41
  4. Step 4: Simplify right side
    854.69x = 938,422.44
  5. Step 5: Solve for x
    x = 938,422.44/854.69
  6. Step 6: Final answer
    x = 1,097.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.