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Finding the Fourth Proportional to 447.98, 668.75 and 385.61

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Solution

The fourth proportional to 447.98, 668.75 and 385.61 is: 575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.98 : 668.75 = 385.61 : x
  2. Step 2: Convert to fraction form
    447.98/668.75 = 385.61/x
  3. Step 3: Cross multiply
    447.98x = 668.75 × 385.61
  4. Step 4: Simplify right side
    447.98x = 257,871.42
  5. Step 5: Solve for x
    x = 257,871.42/447.98
  6. Step 6: Final answer
    x = 575.64

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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.