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Finding the Fourth Proportional to 446.59, 664.98 and 441.69

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Solution

The fourth proportional to 446.59, 664.98 and 441.69 is: 657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.59 : 664.98 = 441.69 : x
  2. Step 2: Convert to fraction form
    446.59/664.98 = 441.69/x
  3. Step 3: Cross multiply
    446.59x = 664.98 × 441.69
  4. Step 4: Simplify right side
    446.59x = 293,709.48
  5. Step 5: Solve for x
    x = 293,709.48/446.59
  6. Step 6: Final answer
    x = 657.68

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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.