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Finding the Fourth Proportional to 465.72, 694.38 and 449.62

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Solution

The fourth proportional to 465.72, 694.38 and 449.62 is: 670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.72 : 694.38 = 449.62 : x
  2. Step 2: Convert to fraction form
    465.72/694.38 = 449.62/x
  3. Step 3: Cross multiply
    465.72x = 694.38 × 449.62
  4. Step 4: Simplify right side
    465.72x = 312,207.09
  5. Step 5: Solve for x
    x = 312,207.09/465.72
  6. Step 6: Final answer
    x = 670.38

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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.