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Finding the Fourth Proportional to 626.88, 865.10 and 394.41

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Solution

The fourth proportional to 626.88, 865.10 and 394.41 is: 544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.88 : 865.10 = 394.41 : x
  2. Step 2: Convert to fraction form
    626.88/865.10 = 394.41/x
  3. Step 3: Cross multiply
    626.88x = 865.10 × 394.41
  4. Step 4: Simplify right side
    626.88x = 341,204.09
  5. Step 5: Solve for x
    x = 341,204.09/626.88
  6. Step 6: Final answer
    x = 544.29

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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.