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Finding the Fourth Proportional to 1,205.14, 1,661.47 and 994.54

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Solution

The fourth proportional to 1,205.14, 1,661.47 and 994.54 is: 1,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.14 : 1,661.47 = 994.54 : x
  2. Step 2: Convert to fraction form
    1,205.14/1,661.47 = 994.54/x
  3. Step 3: Cross multiply
    1,205.14x = 1,661.47 × 994.54
  4. Step 4: Simplify right side
    1,205.14x = 1,652,398.37
  5. Step 5: Solve for x
    x = 1,652,398.37/1,205.14
  6. Step 6: Final answer
    x = 1,371.13

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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.