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Finding the Fourth Proportional to 1,362.52, 2,039.34 and 744.69

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Solution

The fourth proportional to 1,362.52, 2,039.34 and 744.69 is: 1,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.52 : 2,039.34 = 744.69 : x
  2. Step 2: Convert to fraction form
    1,362.52/2,039.34 = 744.69/x
  3. Step 3: Cross multiply
    1,362.52x = 2,039.34 × 744.69
  4. Step 4: Simplify right side
    1,362.52x = 1,518,676.10
  5. Step 5: Solve for x
    x = 1,518,676.10/1,362.52
  6. Step 6: Final answer
    x = 1,114.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.