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Finding the Fourth Proportional to 1,211.71, 1,817.82 and 518.42

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Solution

The fourth proportional to 1,211.71, 1,817.82 and 518.42 is: 777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.71 : 1,817.82 = 518.42 : x
  2. Step 2: Convert to fraction form
    1,211.71/1,817.82 = 518.42/x
  3. Step 3: Cross multiply
    1,211.71x = 1,817.82 × 518.42
  4. Step 4: Simplify right side
    1,211.71x = 942,394.24
  5. Step 5: Solve for x
    x = 942,394.24/1,211.71
  6. Step 6: Final answer
    x = 777.74

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