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Finding the Fourth Proportional to 447.77, 669.05 and 323.78

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Solution

The fourth proportional to 447.77, 669.05 and 323.78 is: 483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.77 : 669.05 = 323.78 : x
  2. Step 2: Convert to fraction form
    447.77/669.05 = 323.78/x
  3. Step 3: Cross multiply
    447.77x = 669.05 × 323.78
  4. Step 4: Simplify right side
    447.77x = 216,625.01
  5. Step 5: Solve for x
    x = 216,625.01/447.77
  6. Step 6: Final answer
    x = 483.79

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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.