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Finding the Fourth Proportional to 1,349.82, 1,863.09 and 811.83

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Solution

The fourth proportional to 1,349.82, 1,863.09 and 811.83 is: 1,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.82 : 1,863.09 = 811.83 : x
  2. Step 2: Convert to fraction form
    1,349.82/1,863.09 = 811.83/x
  3. Step 3: Cross multiply
    1,349.82x = 1,863.09 × 811.83
  4. Step 4: Simplify right side
    1,349.82x = 1,512,512.35
  5. Step 5: Solve for x
    x = 1,512,512.35/1,349.82
  6. Step 6: Final answer
    x = 1,120.53

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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.