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Finding the Fourth Proportional to 1,336.18, 2,003.52 and 920.20

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Solution

The fourth proportional to 1,336.18, 2,003.52 and 920.20 is: 1,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.18 : 2,003.52 = 920.20 : x
  2. Step 2: Convert to fraction form
    1,336.18/2,003.52 = 920.20/x
  3. Step 3: Cross multiply
    1,336.18x = 2,003.52 × 920.20
  4. Step 4: Simplify right side
    1,336.18x = 1,843,639.10
  5. Step 5: Solve for x
    x = 1,843,639.10/1,336.18
  6. Step 6: Final answer
    x = 1,379.78

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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.