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Finding the Fourth Proportional to 447.41, 613.76 and 428.51

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Solution

The fourth proportional to 447.41, 613.76 and 428.51 is: 587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.41 : 613.76 = 428.51 : x
  2. Step 2: Convert to fraction form
    447.41/613.76 = 428.51/x
  3. Step 3: Cross multiply
    447.41x = 613.76 × 428.51
  4. Step 4: Simplify right side
    447.41x = 263,001.69
  5. Step 5: Solve for x
    x = 263,001.69/447.41
  6. Step 6: Final answer
    x = 587.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.