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Finding the Fourth Proportional to 447.52, 666.58 and 446.68

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Solution

The fourth proportional to 447.52, 666.58 and 446.68 is: 665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.52 : 666.58 = 446.68 : x
  2. Step 2: Convert to fraction form
    447.52/666.58 = 446.68/x
  3. Step 3: Cross multiply
    447.52x = 666.58 × 446.68
  4. Step 4: Simplify right side
    447.52x = 297,747.95
  5. Step 5: Solve for x
    x = 297,747.95/447.52
  6. Step 6: Final answer
    x = 665.33

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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.