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Finding the Fourth Proportional to 629.63, 944.25 and 435.88

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Solution

The fourth proportional to 629.63, 944.25 and 435.88 is: 653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.63 : 944.25 = 435.88 : x
  2. Step 2: Convert to fraction form
    629.63/944.25 = 435.88/x
  3. Step 3: Cross multiply
    629.63x = 944.25 × 435.88
  4. Step 4: Simplify right side
    629.63x = 411,575.15
  5. Step 5: Solve for x
    x = 411,575.15/629.63
  6. Step 6: Final answer
    x = 653.68

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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.