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Finding the Fourth Proportional to 464.87, 638.84 and 443.46

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Solution

The fourth proportional to 464.87, 638.84 and 443.46 is: 609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.87 : 638.84 = 443.46 : x
  2. Step 2: Convert to fraction form
    464.87/638.84 = 443.46/x
  3. Step 3: Cross multiply
    464.87x = 638.84 × 443.46
  4. Step 4: Simplify right side
    464.87x = 283,297.77
  5. Step 5: Solve for x
    x = 283,297.77/464.87
  6. Step 6: Final answer
    x = 609.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.