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Finding the Fourth Proportional to 447.82, 668.58 and 378.61

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Solution

The fourth proportional to 447.82, 668.58 and 378.61 is: 565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.82 : 668.58 = 378.61 : x
  2. Step 2: Convert to fraction form
    447.82/668.58 = 378.61/x
  3. Step 3: Cross multiply
    447.82x = 668.58 × 378.61
  4. Step 4: Simplify right side
    447.82x = 253,131.07
  5. Step 5: Solve for x
    x = 253,131.07/447.82
  6. Step 6: Final answer
    x = 565.25

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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.