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Finding the Fourth Proportional to 817.43, 1,127.34 and 743.63

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Solution

The fourth proportional to 817.43, 1,127.34 and 743.63 is: 1,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.43 : 1,127.34 = 743.63 : x
  2. Step 2: Convert to fraction form
    817.43/1,127.34 = 743.63/x
  3. Step 3: Cross multiply
    817.43x = 1,127.34 × 743.63
  4. Step 4: Simplify right side
    817.43x = 838,318.21
  5. Step 5: Solve for x
    x = 838,318.21/817.43
  6. Step 6: Final answer
    x = 1,025.56

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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.