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Finding the Fourth Proportional to 1,511.00, 2,266.50 and 994.25

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Solution

The fourth proportional to 1,511.00, 2,266.50 and 994.25 is: 1,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.00 : 2,266.50 = 994.25 : x
  2. Step 2: Convert to fraction form
    1,511.00/2,266.50 = 994.25/x
  3. Step 3: Cross multiply
    1,511.00x = 2,266.50 × 994.25
  4. Step 4: Simplify right side
    1,511.00x = 2,253,456.29
  5. Step 5: Solve for x
    x = 2,253,456.29/1,511.00
  6. Step 6: Final answer
    x = 1,491.37

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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.