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Finding the Fourth Proportional to 1,644, 2,462.91 and 821.31

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Solution

The fourth proportional to 1,644, 2,462.91 and 821.31 is: 1,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644 : 2,462.91 = 821.31 : x
  2. Step 2: Convert to fraction form
    1,644/2,462.91 = 821.31/x
  3. Step 3: Cross multiply
    1,644x = 2,462.91 × 821.31
  4. Step 4: Simplify right side
    1,644x = 2,022,812.61
  5. Step 5: Solve for x
    x = 2,022,812.61/1,644
  6. Step 6: Final answer
    x = 1,230.42

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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.