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Finding the Fourth Proportional to 447.68, 668.24 and 393.04

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Solution

The fourth proportional to 447.68, 668.24 and 393.04 is: 586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.68 : 668.24 = 393.04 : x
  2. Step 2: Convert to fraction form
    447.68/668.24 = 393.04/x
  3. Step 3: Cross multiply
    447.68x = 668.24 × 393.04
  4. Step 4: Simplify right side
    447.68x = 262,645.05
  5. Step 5: Solve for x
    x = 262,645.05/447.68
  6. Step 6: Final answer
    x = 586.68

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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.