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Finding the Fourth Proportional to 629.42, 939.89 and 514.09

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Solution

The fourth proportional to 629.42, 939.89 and 514.09 is: 767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.42 : 939.89 = 514.09 : x
  2. Step 2: Convert to fraction form
    629.42/939.89 = 514.09/x
  3. Step 3: Cross multiply
    629.42x = 939.89 × 514.09
  4. Step 4: Simplify right side
    629.42x = 483,186.34
  5. Step 5: Solve for x
    x = 483,186.34/629.42
  6. Step 6: Final answer
    x = 767.67

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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.