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Finding the Fourth Proportional to 1,193.07, 1,789.68 and 371.27

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Solution

The fourth proportional to 1,193.07, 1,789.68 and 371.27 is: 556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.07 : 1,789.68 = 371.27 : x
  2. Step 2: Convert to fraction form
    1,193.07/1,789.68 = 371.27/x
  3. Step 3: Cross multiply
    1,193.07x = 1,789.68 × 371.27
  4. Step 4: Simplify right side
    1,193.07x = 664,454.49
  5. Step 5: Solve for x
    x = 664,454.49/1,193.07
  6. Step 6: Final answer
    x = 556.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.