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Finding the Fourth Proportional to 854.22, 1,282.82 and 810.41

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Solution

The fourth proportional to 854.22, 1,282.82 and 810.41 is: 1,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.22 : 1,282.82 = 810.41 : x
  2. Step 2: Convert to fraction form
    854.22/1,282.82 = 810.41/x
  3. Step 3: Cross multiply
    854.22x = 1,282.82 × 810.41
  4. Step 4: Simplify right side
    854.22x = 1,039,609.31
  5. Step 5: Solve for x
    x = 1,039,609.31/854.22
  6. Step 6: Final answer
    x = 1,217.03

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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.