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Finding the Fourth Proportional to 467.42, 649.26 and 459.97

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Solution

The fourth proportional to 467.42, 649.26 and 459.97 is: 638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.42 : 649.26 = 459.97 : x
  2. Step 2: Convert to fraction form
    467.42/649.26 = 459.97/x
  3. Step 3: Cross multiply
    467.42x = 649.26 × 459.97
  4. Step 4: Simplify right side
    467.42x = 298,634.58
  5. Step 5: Solve for x
    x = 298,634.58/467.42
  6. Step 6: Final answer
    x = 638.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.