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Finding the Fourth Proportional to 1,083.32, 1,626.94 and 996.50

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Solution

The fourth proportional to 1,083.32, 1,626.94 and 996.50 is: 1,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.32 : 1,626.94 = 996.50 : x
  2. Step 2: Convert to fraction form
    1,083.32/1,626.94 = 996.50/x
  3. Step 3: Cross multiply
    1,083.32x = 1,626.94 × 996.50
  4. Step 4: Simplify right side
    1,083.32x = 1,621,245.71
  5. Step 5: Solve for x
    x = 1,621,245.71/1,083.32
  6. Step 6: Final answer
    x = 1,496.55

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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.