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Finding the Fourth Proportional to 1,327.65, 1,991.67 and 669.52

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Solution

The fourth proportional to 1,327.65, 1,991.67 and 669.52 is: 1,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.65 : 1,991.67 = 669.52 : x
  2. Step 2: Convert to fraction form
    1,327.65/1,991.67 = 669.52/x
  3. Step 3: Cross multiply
    1,327.65x = 1,991.67 × 669.52
  4. Step 4: Simplify right side
    1,327.65x = 1,333,462.90
  5. Step 5: Solve for x
    x = 1,333,462.90/1,327.65
  6. Step 6: Final answer
    x = 1,004.38

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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.