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Finding the Fourth Proportional to 461.39, 636.30 and 426.15

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Solution

The fourth proportional to 461.39, 636.30 and 426.15 is: 587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.39 : 636.30 = 426.15 : x
  2. Step 2: Convert to fraction form
    461.39/636.30 = 426.15/x
  3. Step 3: Cross multiply
    461.39x = 636.30 × 426.15
  4. Step 4: Simplify right side
    461.39x = 271,159.25
  5. Step 5: Solve for x
    x = 271,159.25/461.39
  6. Step 6: Final answer
    x = 587.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.