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Finding the Fourth Proportional to 626.90, 865.12 and 378.28

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Solution

The fourth proportional to 626.90, 865.12 and 378.28 is: 522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.90 : 865.12 = 378.28 : x
  2. Step 2: Convert to fraction form
    626.90/865.12 = 378.28/x
  3. Step 3: Cross multiply
    626.90x = 865.12 × 378.28
  4. Step 4: Simplify right side
    626.90x = 327,257.59
  5. Step 5: Solve for x
    x = 327,257.59/626.90
  6. Step 6: Final answer
    x = 522.03

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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.