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Finding the Fourth Proportional to 1,327.70, 1,991.16 and 633.98

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Solution

The fourth proportional to 1,327.70, 1,991.16 and 633.98 is: 950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.70 : 1,991.16 = 633.98 : x
  2. Step 2: Convert to fraction form
    1,327.70/1,991.16 = 633.98/x
  3. Step 3: Cross multiply
    1,327.70x = 1,991.16 × 633.98
  4. Step 4: Simplify right side
    1,327.70x = 1,262,355.62
  5. Step 5: Solve for x
    x = 1,262,355.62/1,327.70
  6. Step 6: Final answer
    x = 950.78

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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.