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Finding the Fourth Proportional to 1,363.26, 2,042.15 and 712.63

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Solution

The fourth proportional to 1,363.26, 2,042.15 and 712.63 is: 1,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.26 : 2,042.15 = 712.63 : x
  2. Step 2: Convert to fraction form
    1,363.26/2,042.15 = 712.63/x
  3. Step 3: Cross multiply
    1,363.26x = 2,042.15 × 712.63
  4. Step 4: Simplify right side
    1,363.26x = 1,455,297.35
  5. Step 5: Solve for x
    x = 1,455,297.35/1,363.26
  6. Step 6: Final answer
    x = 1,067.51

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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.