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Finding the Fourth Proportional to 1,249.52, 1,723.92 and 807.98

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Solution

The fourth proportional to 1,249.52, 1,723.92 and 807.98 is: 1,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.52 : 1,723.92 = 807.98 : x
  2. Step 2: Convert to fraction form
    1,249.52/1,723.92 = 807.98/x
  3. Step 3: Cross multiply
    1,249.52x = 1,723.92 × 807.98
  4. Step 4: Simplify right side
    1,249.52x = 1,392,892.88
  5. Step 5: Solve for x
    x = 1,392,892.88/1,249.52
  6. Step 6: Final answer
    x = 1,114.74

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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.