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Finding the Fourth Proportional to 994.82, 1,491.14 and 629.71

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Solution

The fourth proportional to 994.82, 1,491.14 and 629.71 is: 943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.82 : 1,491.14 = 629.71 : x
  2. Step 2: Convert to fraction form
    994.82/1,491.14 = 629.71/x
  3. Step 3: Cross multiply
    994.82x = 1,491.14 × 629.71
  4. Step 4: Simplify right side
    994.82x = 938,983.62
  5. Step 5: Solve for x
    x = 938,983.62/994.82
  6. Step 6: Final answer
    x = 943.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.