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Finding the Fourth Proportional to 464.25, 641.88 and 443.85

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Solution

The fourth proportional to 464.25, 641.88 and 443.85 is: 613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.25 : 641.88 = 443.85 : x
  2. Step 2: Convert to fraction form
    464.25/641.88 = 443.85/x
  3. Step 3: Cross multiply
    464.25x = 641.88 × 443.85
  4. Step 4: Simplify right side
    464.25x = 284,898.44
  5. Step 5: Solve for x
    x = 284,898.44/464.25
  6. Step 6: Final answer
    x = 613.67

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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.