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Finding the Fourth Proportional to 467.82, 696.94 and 439.92

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Solution

The fourth proportional to 467.82, 696.94 and 439.92 is: 655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.82 : 696.94 = 439.92 : x
  2. Step 2: Convert to fraction form
    467.82/696.94 = 439.92/x
  3. Step 3: Cross multiply
    467.82x = 696.94 × 439.92
  4. Step 4: Simplify right side
    467.82x = 306,596.75
  5. Step 5: Solve for x
    x = 306,596.75/467.82
  6. Step 6: Final answer
    x = 655.37

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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.