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Finding the Fourth Proportional to 1,100.91, 1,650.22 and 451.59

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Solution

The fourth proportional to 1,100.91, 1,650.22 and 451.59 is: 676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.91 : 1,650.22 = 451.59 : x
  2. Step 2: Convert to fraction form
    1,100.91/1,650.22 = 451.59/x
  3. Step 3: Cross multiply
    1,100.91x = 1,650.22 × 451.59
  4. Step 4: Simplify right side
    1,100.91x = 745,222.85
  5. Step 5: Solve for x
    x = 745,222.85/1,100.91
  6. Step 6: Final answer
    x = 676.92

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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.