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Finding the Fourth Proportional to 996.40, 1,491.54 and 629.92

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Solution

The fourth proportional to 996.40, 1,491.54 and 629.92 is: 942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.40 : 1,491.54 = 629.92 : x
  2. Step 2: Convert to fraction form
    996.40/1,491.54 = 629.92/x
  3. Step 3: Cross multiply
    996.40x = 1,491.54 × 629.92
  4. Step 4: Simplify right side
    996.40x = 939,550.88
  5. Step 5: Solve for x
    x = 939,550.88/996.40
  6. Step 6: Final answer
    x = 942.95

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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.