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Finding the Fourth Proportional to 1,100.81, 1,650.94 and 484.67

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Solution

The fourth proportional to 1,100.81, 1,650.94 and 484.67 is: 726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.81 : 1,650.94 = 484.67 : x
  2. Step 2: Convert to fraction form
    1,100.81/1,650.94 = 484.67/x
  3. Step 3: Cross multiply
    1,100.81x = 1,650.94 × 484.67
  4. Step 4: Simplify right side
    1,100.81x = 800,161.09
  5. Step 5: Solve for x
    x = 800,161.09/1,100.81
  6. Step 6: Final answer
    x = 726.88

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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.