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Finding the Fourth Proportional to 461.95, 636.20 and 451.87

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Solution

The fourth proportional to 461.95, 636.20 and 451.87 is: 622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.95 : 636.20 = 451.87 : x
  2. Step 2: Convert to fraction form
    461.95/636.20 = 451.87/x
  3. Step 3: Cross multiply
    461.95x = 636.20 × 451.87
  4. Step 4: Simplify right side
    461.95x = 287,477.43
  5. Step 5: Solve for x
    x = 287,477.43/461.95
  6. Step 6: Final answer
    x = 622.31

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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.