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Finding the Fourth Proportional to 1,204.22, 1,661.43 and 811.46

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Solution

The fourth proportional to 1,204.22, 1,661.43 and 811.46 is: 1,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.22 : 1,661.43 = 811.46 : x
  2. Step 2: Convert to fraction form
    1,204.22/1,661.43 = 811.46/x
  3. Step 3: Cross multiply
    1,204.22x = 1,661.43 × 811.46
  4. Step 4: Simplify right side
    1,204.22x = 1,348,183.99
  5. Step 5: Solve for x
    x = 1,348,183.99/1,204.22
  6. Step 6: Final answer
    x = 1,119.55

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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.