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Finding the Fourth Proportional to 1,742.29, 2,611.83 and 754.49

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Solution

The fourth proportional to 1,742.29, 2,611.83 and 754.49 is: 1,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.29 : 2,611.83 = 754.49 : x
  2. Step 2: Convert to fraction form
    1,742.29/2,611.83 = 754.49/x
  3. Step 3: Cross multiply
    1,742.29x = 2,611.83 × 754.49
  4. Step 4: Simplify right side
    1,742.29x = 1,970,586.56
  5. Step 5: Solve for x
    x = 1,970,586.56/1,742.29
  6. Step 6: Final answer
    x = 1,131.03

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1.5x scale

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.