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Finding the Fourth Proportional to 1,211.22, 1,815.59 and 821.26

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Solution

The fourth proportional to 1,211.22, 1,815.59 and 821.26 is: 1,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.22 : 1,815.59 = 821.26 : x
  2. Step 2: Convert to fraction form
    1,211.22/1,815.59 = 821.26/x
  3. Step 3: Cross multiply
    1,211.22x = 1,815.59 × 821.26
  4. Step 4: Simplify right side
    1,211.22x = 1,491,071.44
  5. Step 5: Solve for x
    x = 1,491,071.44/1,211.22
  6. Step 6: Final answer
    x = 1,231.05

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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.