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Finding the Fourth Proportional to 2,511.77, 3,767.22 and 662.90

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Solution

The fourth proportional to 2,511.77, 3,767.22 and 662.90 is: 994.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.77 : 3,767.22 = 662.90 : x
  2. Step 2: Convert to fraction form
    2,511.77/3,767.22 = 662.90/x
  3. Step 3: Cross multiply
    2,511.77x = 3,767.22 × 662.90
  4. Step 4: Simplify right side
    2,511.77x = 2,497,271.30
  5. Step 5: Solve for x
    x = 2,497,271.30/2,511.77
  6. Step 6: Final answer
    x = 994.23

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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.