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Finding the Fourth Proportional to 463.85, 636.51 and 422.09

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Solution

The fourth proportional to 463.85, 636.51 and 422.09 is: 579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.85 : 636.51 = 422.09 : x
  2. Step 2: Convert to fraction form
    463.85/636.51 = 422.09/x
  3. Step 3: Cross multiply
    463.85x = 636.51 × 422.09
  4. Step 4: Simplify right side
    463.85x = 268,661.32
  5. Step 5: Solve for x
    x = 268,661.32/463.85
  6. Step 6: Final answer
    x = 579.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.