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Finding the Fourth Proportional to 449.14, 673.77 and 428.38

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Solution

The fourth proportional to 449.14, 673.77 and 428.38 is: 642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.14 : 673.77 = 428.38 : x
  2. Step 2: Convert to fraction form
    449.14/673.77 = 428.38/x
  3. Step 3: Cross multiply
    449.14x = 673.77 × 428.38
  4. Step 4: Simplify right side
    449.14x = 288,629.59
  5. Step 5: Solve for x
    x = 288,629.59/449.14
  6. Step 6: Final answer
    x = 642.63

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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.