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Finding the Fourth Proportional to 1,211.80, 1,817.82 and 442.12

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Solution

The fourth proportional to 1,211.80, 1,817.82 and 442.12 is: 663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.80 : 1,817.82 = 442.12 : x
  2. Step 2: Convert to fraction form
    1,211.80/1,817.82 = 442.12/x
  3. Step 3: Cross multiply
    1,211.80x = 1,817.82 × 442.12
  4. Step 4: Simplify right side
    1,211.80x = 803,694.58
  5. Step 5: Solve for x
    x = 803,694.58/1,211.80
  6. Step 6: Final answer
    x = 663.22

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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.