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Finding the Fourth Proportional to 454.56, 685.44 and 445.92

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Solution

The fourth proportional to 454.56, 685.44 and 445.92 is: 672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.56 : 685.44 = 445.92 : x
  2. Step 2: Convert to fraction form
    454.56/685.44 = 445.92/x
  3. Step 3: Cross multiply
    454.56x = 685.44 × 445.92
  4. Step 4: Simplify right side
    454.56x = 305,651.40
  5. Step 5: Solve for x
    x = 305,651.40/454.56
  6. Step 6: Final answer
    x = 672.41

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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.