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Finding the Fourth Proportional to 1,084.87, 1,619.99 and 1,073.43

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Solution

The fourth proportional to 1,084.87, 1,619.99 and 1,073.43 is: 1,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.87 : 1,619.99 = 1,073.43 : x
  2. Step 2: Convert to fraction form
    1,084.87/1,619.99 = 1,073.43/x
  3. Step 3: Cross multiply
    1,084.87x = 1,619.99 × 1,073.43
  4. Step 4: Simplify right side
    1,084.87x = 1,738,940.50
  5. Step 5: Solve for x
    x = 1,738,940.50/1,084.87
  6. Step 6: Final answer
    x = 1,602.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.