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Finding the Fourth Proportional to 447.89, 668.36 and 401.93

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Solution

The fourth proportional to 447.89, 668.36 and 401.93 is: 599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.89 : 668.36 = 401.93 : x
  2. Step 2: Convert to fraction form
    447.89/668.36 = 401.93/x
  3. Step 3: Cross multiply
    447.89x = 668.36 × 401.93
  4. Step 4: Simplify right side
    447.89x = 268,628.58
  5. Step 5: Solve for x
    x = 268,628.58/447.89
  6. Step 6: Final answer
    x = 599.76

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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.