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Finding the Fourth Proportional to 467.26, 649.28 and 462.20

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Solution

The fourth proportional to 467.26, 649.28 and 462.20 is: 642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.26 : 649.28 = 462.20 : x
  2. Step 2: Convert to fraction form
    467.26/649.28 = 462.20/x
  3. Step 3: Cross multiply
    467.26x = 649.28 × 462.20
  4. Step 4: Simplify right side
    467.26x = 300,097.22
  5. Step 5: Solve for x
    x = 300,097.22/467.26
  6. Step 6: Final answer
    x = 642.25

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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.