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Finding the Fourth Proportional to 461.97, 633.33 and 453.78

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Solution

The fourth proportional to 461.97, 633.33 and 453.78 is: 622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.97 : 633.33 = 453.78 : x
  2. Step 2: Convert to fraction form
    461.97/633.33 = 453.78/x
  3. Step 3: Cross multiply
    461.97x = 633.33 × 453.78
  4. Step 4: Simplify right side
    461.97x = 287,392.49
  5. Step 5: Solve for x
    x = 287,392.49/461.97
  6. Step 6: Final answer
    x = 622.10

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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.