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Finding the Fourth Proportional to 626.82, 864.82 and 378.22

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Solution

The fourth proportional to 626.82, 864.82 and 378.22 is: 521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.82 : 864.82 = 378.22 : x
  2. Step 2: Convert to fraction form
    626.82/864.82 = 378.22/x
  3. Step 3: Cross multiply
    626.82x = 864.82 × 378.22
  4. Step 4: Simplify right side
    626.82x = 327,092.22
  5. Step 5: Solve for x
    x = 327,092.22/626.82
  6. Step 6: Final answer
    x = 521.83

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1.5x scale

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.