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Finding the Fourth Proportional to 626.73, 864.96 and 378.20

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Solution

The fourth proportional to 626.73, 864.96 and 378.20 is: 521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.73 : 864.96 = 378.20 : x
  2. Step 2: Convert to fraction form
    626.73/864.96 = 378.20/x
  3. Step 3: Cross multiply
    626.73x = 864.96 × 378.20
  4. Step 4: Simplify right side
    626.73x = 327,127.87
  5. Step 5: Solve for x
    x = 327,127.87/626.73
  6. Step 6: Final answer
    x = 521.96

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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.