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Finding the Fourth Proportional to 628.89, 944.39 and 446.94

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Solution

The fourth proportional to 628.89, 944.39 and 446.94 is: 671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.89 : 944.39 = 446.94 : x
  2. Step 2: Convert to fraction form
    628.89/944.39 = 446.94/x
  3. Step 3: Cross multiply
    628.89x = 944.39 × 446.94
  4. Step 4: Simplify right side
    628.89x = 422,086.78
  5. Step 5: Solve for x
    x = 422,086.78/628.89
  6. Step 6: Final answer
    x = 671.17

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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.