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Finding the Fourth Proportional to 629.52, 940.04 and 514.20

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Solution

The fourth proportional to 629.52, 940.04 and 514.20 is: 767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 940.04 = 514.20 : x
  2. Step 2: Convert to fraction form
    629.52/940.04 = 514.20/x
  3. Step 3: Cross multiply
    629.52x = 940.04 × 514.20
  4. Step 4: Simplify right side
    629.52x = 483,367.29
  5. Step 5: Solve for x
    x = 483,367.29/629.52
  6. Step 6: Final answer
    x = 767.83

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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.