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Finding the Fourth Proportional to 441.90, 662.76 and 287.82

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Solution

The fourth proportional to 441.90, 662.76 and 287.82 is: 431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.90 : 662.76 = 287.82 : x
  2. Step 2: Convert to fraction form
    441.90/662.76 = 287.82/x
  3. Step 3: Cross multiply
    441.90x = 662.76 × 287.82
  4. Step 4: Simplify right side
    441.90x = 190,755.58
  5. Step 5: Solve for x
    x = 190,755.58/441.90
  6. Step 6: Final answer
    x = 431.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.