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Finding the Fourth Proportional to 1,644, 2,262.24 and 1,249.44

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Solution

The fourth proportional to 1,644, 2,262.24 and 1,249.44 is: 1,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644 : 2,262.24 = 1,249.44 : x
  2. Step 2: Convert to fraction form
    1,644/2,262.24 = 1,249.44/x
  3. Step 3: Cross multiply
    1,644x = 2,262.24 × 1,249.44
  4. Step 4: Simplify right side
    1,644x = 2,826,533.15
  5. Step 5: Solve for x
    x = 2,826,533.15/1,644
  6. Step 6: Final answer
    x = 1,719.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.