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Finding the Fourth Proportional to 465.98, 696.22 and 449.83

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Solution

The fourth proportional to 465.98, 696.22 and 449.83 is: 672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.98 : 696.22 = 449.83 : x
  2. Step 2: Convert to fraction form
    465.98/696.22 = 449.83/x
  3. Step 3: Cross multiply
    465.98x = 696.22 × 449.83
  4. Step 4: Simplify right side
    465.98x = 313,177.16
  5. Step 5: Solve for x
    x = 313,177.16/465.98
  6. Step 6: Final answer
    x = 672.08

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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.