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Finding the Fourth Proportional to 629.62, 944.49 and 356.24

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Solution

The fourth proportional to 629.62, 944.49 and 356.24 is: 534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.62 : 944.49 = 356.24 : x
  2. Step 2: Convert to fraction form
    629.62/944.49 = 356.24/x
  3. Step 3: Cross multiply
    629.62x = 944.49 × 356.24
  4. Step 4: Simplify right side
    629.62x = 336,465.12
  5. Step 5: Solve for x
    x = 336,465.12/629.62
  6. Step 6: Final answer
    x = 534.39

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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.