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Finding the Fourth Proportional to 447.80, 668.42 and 414.82

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Solution

The fourth proportional to 447.80, 668.42 and 414.82 is: 619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.80 : 668.42 = 414.82 : x
  2. Step 2: Convert to fraction form
    447.80/668.42 = 414.82/x
  3. Step 3: Cross multiply
    447.80x = 668.42 × 414.82
  4. Step 4: Simplify right side
    447.80x = 277,276.79
  5. Step 5: Solve for x
    x = 277,276.79/447.80
  6. Step 6: Final answer
    x = 619.20

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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.