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Finding the Fourth Proportional to 447.67, 672.27 and 424.63

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Solution

The fourth proportional to 447.67, 672.27 and 424.63 is: 637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.67 : 672.27 = 424.63 : x
  2. Step 2: Convert to fraction form
    447.67/672.27 = 424.63/x
  3. Step 3: Cross multiply
    447.67x = 672.27 × 424.63
  4. Step 4: Simplify right side
    447.67x = 285,466.01
  5. Step 5: Solve for x
    x = 285,466.01/447.67
  6. Step 6: Final answer
    x = 637.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.