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Finding the Fourth Proportional to 441.68, 662.70 and 287.54

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Solution

The fourth proportional to 441.68, 662.70 and 287.54 is: 431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.68 : 662.70 = 287.54 : x
  2. Step 2: Convert to fraction form
    441.68/662.70 = 287.54/x
  3. Step 3: Cross multiply
    441.68x = 662.70 × 287.54
  4. Step 4: Simplify right side
    441.68x = 190,552.76
  5. Step 5: Solve for x
    x = 190,552.76/441.68
  6. Step 6: Final answer
    x = 431.43

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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.