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Finding the Fourth Proportional to 1,100.40, 1,518.78 and 680.82

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Solution

The fourth proportional to 1,100.40, 1,518.78 and 680.82 is: 939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.40 : 1,518.78 = 680.82 : x
  2. Step 2: Convert to fraction form
    1,100.40/1,518.78 = 680.82/x
  3. Step 3: Cross multiply
    1,100.40x = 1,518.78 × 680.82
  4. Step 4: Simplify right side
    1,100.40x = 1,034,015.80
  5. Step 5: Solve for x
    x = 1,034,015.80/1,100.40
  6. Step 6: Final answer
    x = 939.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.