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Finding the Fourth Proportional to 626.68, 944.24 and 519.38

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Solution

The fourth proportional to 626.68, 944.24 and 519.38 is: 782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.68 : 944.24 = 519.38 : x
  2. Step 2: Convert to fraction form
    626.68/944.24 = 519.38/x
  3. Step 3: Cross multiply
    626.68x = 944.24 × 519.38
  4. Step 4: Simplify right side
    626.68x = 490,415.95
  5. Step 5: Solve for x
    x = 490,415.95/626.68
  6. Step 6: Final answer
    x = 782.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.