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Finding the Fourth Proportional to 629.24, 941.17 and 453.95

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Solution

The fourth proportional to 629.24, 941.17 and 453.95 is: 678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.24 : 941.17 = 453.95 : x
  2. Step 2: Convert to fraction form
    629.24/941.17 = 453.95/x
  3. Step 3: Cross multiply
    629.24x = 941.17 × 453.95
  4. Step 4: Simplify right side
    629.24x = 427,238.28
  5. Step 5: Solve for x
    x = 427,238.28/629.24
  6. Step 6: Final answer
    x = 678.97

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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.