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Finding the Fourth Proportional to 626.30, 938.64 and 420.56

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Solution

The fourth proportional to 626.30, 938.64 and 420.56 is: 630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.30 : 938.64 = 420.56 : x
  2. Step 2: Convert to fraction form
    626.30/938.64 = 420.56/x
  3. Step 3: Cross multiply
    626.30x = 938.64 × 420.56
  4. Step 4: Simplify right side
    626.30x = 394,754.44
  5. Step 5: Solve for x
    x = 394,754.44/626.30
  6. Step 6: Final answer
    x = 630.30

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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.