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Finding the Fourth Proportional to 447.84, 668.31 and 382.80

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Solution

The fourth proportional to 447.84, 668.31 and 382.80 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.84 : 668.31 = 382.80 : x
  2. Step 2: Convert to fraction form
    447.84/668.31 = 382.80/x
  3. Step 3: Cross multiply
    447.84x = 668.31 × 382.80
  4. Step 4: Simplify right side
    447.84x = 255,829.07
  5. Step 5: Solve for x
    x = 255,829.07/447.84
  6. Step 6: Final answer
    x = 571.25

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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.