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Finding the Fourth Proportional to 648.56, 893.94 and 451.73

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Solution

The fourth proportional to 648.56, 893.94 and 451.73 is: 622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 893.94 = 451.73 : x
  2. Step 2: Convert to fraction form
    648.56/893.94 = 451.73/x
  3. Step 3: Cross multiply
    648.56x = 893.94 × 451.73
  4. Step 4: Simplify right side
    648.56x = 403,815.05
  5. Step 5: Solve for x
    x = 403,815.05/648.56
  6. Step 6: Final answer
    x = 622.64

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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.