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Finding the Fourth Proportional to 465.82, 696 and 449.68

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Solution

The fourth proportional to 465.82, 696 and 449.68 is: 671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.82 : 696 = 449.68 : x
  2. Step 2: Convert to fraction form
    465.82/696 = 449.68/x
  3. Step 3: Cross multiply
    465.82x = 696 × 449.68
  4. Step 4: Simplify right side
    465.82x = 312,977.28
  5. Step 5: Solve for x
    x = 312,977.28/465.82
  6. Step 6: Final answer
    x = 671.88

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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.