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Finding the Fourth Proportional to 709.43, 1,062.29 and 490.73

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Solution

The fourth proportional to 709.43, 1,062.29 and 490.73 is: 734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.43 : 1,062.29 = 490.73 : x
  2. Step 2: Convert to fraction form
    709.43/1,062.29 = 490.73/x
  3. Step 3: Cross multiply
    709.43x = 1,062.29 × 490.73
  4. Step 4: Simplify right side
    709.43x = 521,293.49
  5. Step 5: Solve for x
    x = 521,293.49/709.43
  6. Step 6: Final answer
    x = 734.81

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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.