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Finding the Fourth Proportional to 648.44, 894.44 and 396.25

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Solution

The fourth proportional to 648.44, 894.44 and 396.25 is: 546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.44 : 894.44 = 396.25 : x
  2. Step 2: Convert to fraction form
    648.44/894.44 = 396.25/x
  3. Step 3: Cross multiply
    648.44x = 894.44 × 396.25
  4. Step 4: Simplify right side
    648.44x = 354,421.85
  5. Step 5: Solve for x
    x = 354,421.85/648.44
  6. Step 6: Final answer
    x = 546.58

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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.