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Finding the Fourth Proportional to 1,378.26, 2,065.50 and 793.44

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Solution

The fourth proportional to 1,378.26, 2,065.50 and 793.44 is: 1,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.26 : 2,065.50 = 793.44 : x
  2. Step 2: Convert to fraction form
    1,378.26/2,065.50 = 793.44/x
  3. Step 3: Cross multiply
    1,378.26x = 2,065.50 × 793.44
  4. Step 4: Simplify right side
    1,378.26x = 1,638,850.32
  5. Step 5: Solve for x
    x = 1,638,850.32/1,378.26
  6. Step 6: Final answer
    x = 1,189.07

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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.