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Finding the Fourth Proportional to 1,173.79, 1,761.01 and 443.21

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Solution

The fourth proportional to 1,173.79, 1,761.01 and 443.21 is: 664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.79 : 1,761.01 = 443.21 : x
  2. Step 2: Convert to fraction form
    1,173.79/1,761.01 = 443.21/x
  3. Step 3: Cross multiply
    1,173.79x = 1,761.01 × 443.21
  4. Step 4: Simplify right side
    1,173.79x = 780,487.33
  5. Step 5: Solve for x
    x = 780,487.33/1,173.79
  6. Step 6: Final answer
    x = 664.93

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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.