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Finding the Fourth Proportional to 629.30, 940.07 and 454.47

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Solution

The fourth proportional to 629.30, 940.07 and 454.47 is: 678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.30 : 940.07 = 454.47 : x
  2. Step 2: Convert to fraction form
    629.30/940.07 = 454.47/x
  3. Step 3: Cross multiply
    629.30x = 940.07 × 454.47
  4. Step 4: Simplify right side
    629.30x = 427,234.75
  5. Step 5: Solve for x
    x = 427,234.75/629.30
  6. Step 6: Final answer
    x = 678.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.