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Finding the Fourth Proportional to 1,013.26, 1,519.39 and 379.83

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Solution

The fourth proportional to 1,013.26, 1,519.39 and 379.83 is: 569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.26 : 1,519.39 = 379.83 : x
  2. Step 2: Convert to fraction form
    1,013.26/1,519.39 = 379.83/x
  3. Step 3: Cross multiply
    1,013.26x = 1,519.39 × 379.83
  4. Step 4: Simplify right side
    1,013.26x = 577,109.90
  5. Step 5: Solve for x
    x = 577,109.90/1,013.26
  6. Step 6: Final answer
    x = 569.56

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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.