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Finding the Fourth Proportional to 454.64, 625.82 and 323.44

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Solution

The fourth proportional to 454.64, 625.82 and 323.44 is: 445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.64 : 625.82 = 323.44 : x
  2. Step 2: Convert to fraction form
    454.64/625.82 = 323.44/x
  3. Step 3: Cross multiply
    454.64x = 625.82 × 323.44
  4. Step 4: Simplify right side
    454.64x = 202,415.22
  5. Step 5: Solve for x
    x = 202,415.22/454.64
  6. Step 6: Final answer
    x = 445.22

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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.