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Finding the Fourth Proportional to 441.99, 660.49 and 431.73

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Solution

The fourth proportional to 441.99, 660.49 and 431.73 is: 645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.99 : 660.49 = 431.73 : x
  2. Step 2: Convert to fraction form
    441.99/660.49 = 431.73/x
  3. Step 3: Cross multiply
    441.99x = 660.49 × 431.73
  4. Step 4: Simplify right side
    441.99x = 285,152.27
  5. Step 5: Solve for x
    x = 285,152.27/441.99
  6. Step 6: Final answer
    x = 645.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.