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Finding the Fourth Proportional to 1,380.34, 2,065.96 and 754.68

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Solution

The fourth proportional to 1,380.34, 2,065.96 and 754.68 is: 1,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.34 : 2,065.96 = 754.68 : x
  2. Step 2: Convert to fraction form
    1,380.34/2,065.96 = 754.68/x
  3. Step 3: Cross multiply
    1,380.34x = 2,065.96 × 754.68
  4. Step 4: Simplify right side
    1,380.34x = 1,559,138.69
  5. Step 5: Solve for x
    x = 1,559,138.69/1,380.34
  6. Step 6: Final answer
    x = 1,129.53

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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.