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Finding the Fourth Proportional to 629.88, 940.57 and 514.54

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Solution

The fourth proportional to 629.88, 940.57 and 514.54 is: 768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.88 : 940.57 = 514.54 : x
  2. Step 2: Convert to fraction form
    629.88/940.57 = 514.54/x
  3. Step 3: Cross multiply
    629.88x = 940.57 × 514.54
  4. Step 4: Simplify right side
    629.88x = 483,960.78
  5. Step 5: Solve for x
    x = 483,960.78/629.88
  6. Step 6: Final answer
    x = 768.34

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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.