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Finding the Fourth Proportional to 626.64, 938.74 and 382.56

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Solution

The fourth proportional to 626.64, 938.74 and 382.56 is: 573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.64 : 938.74 = 382.56 : x
  2. Step 2: Convert to fraction form
    626.64/938.74 = 382.56/x
  3. Step 3: Cross multiply
    626.64x = 938.74 × 382.56
  4. Step 4: Simplify right side
    626.64x = 359,124.37
  5. Step 5: Solve for x
    x = 359,124.37/626.64
  6. Step 6: Final answer
    x = 573.10

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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.