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Finding the Fourth Proportional to 1,193.23, 1,789.59 and 371.49

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Solution

The fourth proportional to 1,193.23, 1,789.59 and 371.49 is: 557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.23 : 1,789.59 = 371.49 : x
  2. Step 2: Convert to fraction form
    1,193.23/1,789.59 = 371.49/x
  3. Step 3: Cross multiply
    1,193.23x = 1,789.59 × 371.49
  4. Step 4: Simplify right side
    1,193.23x = 664,809.47
  5. Step 5: Solve for x
    x = 664,809.47/1,193.23
  6. Step 6: Final answer
    x = 557.15

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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.