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Finding the Fourth Proportional to 626.45, 938.57 and 534.22

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Solution

The fourth proportional to 626.45, 938.57 and 534.22 is: 800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.45 : 938.57 = 534.22 : x
  2. Step 2: Convert to fraction form
    626.45/938.57 = 534.22/x
  3. Step 3: Cross multiply
    626.45x = 938.57 × 534.22
  4. Step 4: Simplify right side
    626.45x = 501,396.09
  5. Step 5: Solve for x
    x = 501,396.09/626.45
  6. Step 6: Final answer
    x = 800.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.