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Finding the Fourth Proportional to 1,372.70, 1,894.31 and 743.21

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Solution

The fourth proportional to 1,372.70, 1,894.31 and 743.21 is: 1,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.70 : 1,894.31 = 743.21 : x
  2. Step 2: Convert to fraction form
    1,372.70/1,894.31 = 743.21/x
  3. Step 3: Cross multiply
    1,372.70x = 1,894.31 × 743.21
  4. Step 4: Simplify right side
    1,372.70x = 1,407,879.01
  5. Step 5: Solve for x
    x = 1,407,879.01/1,372.70
  6. Step 6: Final answer
    x = 1,025.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.