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Finding the Fourth Proportional to 626.98, 865.32 and 378.46

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Solution

The fourth proportional to 626.98, 865.32 and 378.46 is: 522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.98 : 865.32 = 378.46 : x
  2. Step 2: Convert to fraction form
    626.98/865.32 = 378.46/x
  3. Step 3: Cross multiply
    626.98x = 865.32 × 378.46
  4. Step 4: Simplify right side
    626.98x = 327,489.01
  5. Step 5: Solve for x
    x = 327,489.01/626.98
  6. Step 6: Final answer
    x = 522.33

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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.