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Finding the Fourth Proportional to 1,331.75, 1,837.82 and 808.49

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Solution

The fourth proportional to 1,331.75, 1,837.82 and 808.49 is: 1,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.75 : 1,837.82 = 808.49 : x
  2. Step 2: Convert to fraction form
    1,331.75/1,837.82 = 808.49/x
  3. Step 3: Cross multiply
    1,331.75x = 1,837.82 × 808.49
  4. Step 4: Simplify right side
    1,331.75x = 1,485,859.09
  5. Step 5: Solve for x
    x = 1,485,859.09/1,331.75
  6. Step 6: Final answer
    x = 1,115.72

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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.