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Finding the Fourth Proportional to 441.69, 663.46 and 287.85

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Solution

The fourth proportional to 441.69, 663.46 and 287.85 is: 432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.69 : 663.46 = 287.85 : x
  2. Step 2: Convert to fraction form
    441.69/663.46 = 287.85/x
  3. Step 3: Cross multiply
    441.69x = 663.46 × 287.85
  4. Step 4: Simplify right side
    441.69x = 190,978.73
  5. Step 5: Solve for x
    x = 190,978.73/441.69
  6. Step 6: Final answer
    x = 432.39

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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.