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Finding the Fourth Proportional to 626.85, 865.13 and 378.09

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Solution

The fourth proportional to 626.85, 865.13 and 378.09 is: 521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.85 : 865.13 = 378.09 : x
  2. Step 2: Convert to fraction form
    626.85/865.13 = 378.09/x
  3. Step 3: Cross multiply
    626.85x = 865.13 × 378.09
  4. Step 4: Simplify right side
    626.85x = 327,095.11
  5. Step 5: Solve for x
    x = 327,095.11/626.85
  6. Step 6: Final answer
    x = 521.81

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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.