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Finding the Fourth Proportional to 717.34, 1,074.27 and 408.25

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Solution

The fourth proportional to 717.34, 1,074.27 and 408.25 is: 611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.34 : 1,074.27 = 408.25 : x
  2. Step 2: Convert to fraction form
    717.34/1,074.27 = 408.25/x
  3. Step 3: Cross multiply
    717.34x = 1,074.27 × 408.25
  4. Step 4: Simplify right side
    717.34x = 438,568.69
  5. Step 5: Solve for x
    x = 438,568.69/717.34
  6. Step 6: Final answer
    x = 611.39

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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.