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Finding the Fourth Proportional to 496.26, 685.18 and 454.66

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Solution

The fourth proportional to 496.26, 685.18 and 454.66 is: 627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.26 : 685.18 = 454.66 : x
  2. Step 2: Convert to fraction form
    496.26/685.18 = 454.66/x
  3. Step 3: Cross multiply
    496.26x = 685.18 × 454.66
  4. Step 4: Simplify right side
    496.26x = 311,523.94
  5. Step 5: Solve for x
    x = 311,523.94/496.26
  6. Step 6: Final answer
    x = 627.74

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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.