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Finding the Fourth Proportional to 629.59, 940.14 and 514.26

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Solution

The fourth proportional to 629.59, 940.14 and 514.26 is: 767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.59 : 940.14 = 514.26 : x
  2. Step 2: Convert to fraction form
    629.59/940.14 = 514.26/x
  3. Step 3: Cross multiply
    629.59x = 940.14 × 514.26
  4. Step 4: Simplify right side
    629.59x = 483,475.11
  5. Step 5: Solve for x
    x = 483,475.11/629.59
  6. Step 6: Final answer
    x = 767.92

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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.