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Finding the Fourth Proportional to 629.78, 944.57 and 446.62

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Solution

The fourth proportional to 629.78, 944.57 and 446.62 is: 669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.78 : 944.57 = 446.62 : x
  2. Step 2: Convert to fraction form
    629.78/944.57 = 446.62/x
  3. Step 3: Cross multiply
    629.78x = 944.57 × 446.62
  4. Step 4: Simplify right side
    629.78x = 421,862.74
  5. Step 5: Solve for x
    x = 421,862.74/629.78
  6. Step 6: Final answer
    x = 669.85

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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.