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Finding the Fourth Proportional to 461.73, 634.15 and 427.91

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Solution

The fourth proportional to 461.73, 634.15 and 427.91 is: 587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.73 : 634.15 = 427.91 : x
  2. Step 2: Convert to fraction form
    461.73/634.15 = 427.91/x
  3. Step 3: Cross multiply
    461.73x = 634.15 × 427.91
  4. Step 4: Simplify right side
    461.73x = 271,359.13
  5. Step 5: Solve for x
    x = 271,359.13/461.73
  6. Step 6: Final answer
    x = 587.70

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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.