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Finding the Fourth Proportional to 446.88, 667.38 and 408

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Solution

The fourth proportional to 446.88, 667.38 and 408 is: 609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.88 : 667.38 = 408 : x
  2. Step 2: Convert to fraction form
    446.88/667.38 = 408/x
  3. Step 3: Cross multiply
    446.88x = 667.38 × 408
  4. Step 4: Simplify right side
    446.88x = 272,291.04
  5. Step 5: Solve for x
    x = 272,291.04/446.88
  6. Step 6: Final answer
    x = 609.32

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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.