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Finding the Fourth Proportional to 1,204.18, 1,661.39 and 806.47

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Solution

The fourth proportional to 1,204.18, 1,661.39 and 806.47 is: 1,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.18 : 1,661.39 = 806.47 : x
  2. Step 2: Convert to fraction form
    1,204.18/1,661.39 = 806.47/x
  3. Step 3: Cross multiply
    1,204.18x = 1,661.39 × 806.47
  4. Step 4: Simplify right side
    1,204.18x = 1,339,861.19
  5. Step 5: Solve for x
    x = 1,339,861.19/1,204.18
  6. Step 6: Final answer
    x = 1,112.68

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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.