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Finding the Fourth Proportional to 454.20, 685.25 and 431.41

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Solution

The fourth proportional to 454.20, 685.25 and 431.41 is: 650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.20 : 685.25 = 431.41 : x
  2. Step 2: Convert to fraction form
    454.20/685.25 = 431.41/x
  3. Step 3: Cross multiply
    454.20x = 685.25 × 431.41
  4. Step 4: Simplify right side
    454.20x = 295,623.70
  5. Step 5: Solve for x
    x = 295,623.70/454.20
  6. Step 6: Final answer
    x = 650.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.