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Finding the Fourth Proportional to 1,072.21, 1,608.90 and 746.95

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Solution

The fourth proportional to 1,072.21, 1,608.90 and 746.95 is: 1,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.21 : 1,608.90 = 746.95 : x
  2. Step 2: Convert to fraction form
    1,072.21/1,608.90 = 746.95/x
  3. Step 3: Cross multiply
    1,072.21x = 1,608.90 × 746.95
  4. Step 4: Simplify right side
    1,072.21x = 1,201,767.86
  5. Step 5: Solve for x
    x = 1,201,767.86/1,072.21
  6. Step 6: Final answer
    x = 1,120.83

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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.