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Finding the Fourth Proportional to 1,353.50, 2,029.94 and 379.68

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Solution

The fourth proportional to 1,353.50, 2,029.94 and 379.68 is: 569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.50 : 2,029.94 = 379.68 : x
  2. Step 2: Convert to fraction form
    1,353.50/2,029.94 = 379.68/x
  3. Step 3: Cross multiply
    1,353.50x = 2,029.94 × 379.68
  4. Step 4: Simplify right side
    1,353.50x = 770,717.47
  5. Step 5: Solve for x
    x = 770,717.47/1,353.50
  6. Step 6: Final answer
    x = 569.43

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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.