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Finding the Fourth Proportional to 1,433.79, 2,149.97 and 739.41

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Solution

The fourth proportional to 1,433.79, 2,149.97 and 739.41 is: 1,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.79 : 2,149.97 = 739.41 : x
  2. Step 2: Convert to fraction form
    1,433.79/2,149.97 = 739.41/x
  3. Step 3: Cross multiply
    1,433.79x = 2,149.97 × 739.41
  4. Step 4: Simplify right side
    1,433.79x = 1,589,705.62
  5. Step 5: Solve for x
    x = 1,589,705.62/1,433.79
  6. Step 6: Final answer
    x = 1,108.74

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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.