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Finding the Fourth Proportional to 461.40, 636.78 and 447.05

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Solution

The fourth proportional to 461.40, 636.78 and 447.05 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.40 : 636.78 = 447.05 : x
  2. Step 2: Convert to fraction form
    461.40/636.78 = 447.05/x
  3. Step 3: Cross multiply
    461.40x = 636.78 × 447.05
  4. Step 4: Simplify right side
    461.40x = 284,669.32
  5. Step 5: Solve for x
    x = 284,669.32/461.40
  6. Step 6: Final answer
    x = 616.97

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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.