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Finding the Fourth Proportional to 1,467.21, 2,197.44 and 816.51

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Solution

The fourth proportional to 1,467.21, 2,197.44 and 816.51 is: 1,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.21 : 2,197.44 = 816.51 : x
  2. Step 2: Convert to fraction form
    1,467.21/2,197.44 = 816.51/x
  3. Step 3: Cross multiply
    1,467.21x = 2,197.44 × 816.51
  4. Step 4: Simplify right side
    1,467.21x = 1,794,231.73
  5. Step 5: Solve for x
    x = 1,794,231.73/1,467.21
  6. Step 6: Final answer
    x = 1,222.89

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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.