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Finding the Fourth Proportional to 1,819.40, 2,727.98 and 723.28

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Solution

The fourth proportional to 1,819.40, 2,727.98 and 723.28 is: 1,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.40 : 2,727.98 = 723.28 : x
  2. Step 2: Convert to fraction form
    1,819.40/2,727.98 = 723.28/x
  3. Step 3: Cross multiply
    1,819.40x = 2,727.98 × 723.28
  4. Step 4: Simplify right side
    1,819.40x = 1,973,093.37
  5. Step 5: Solve for x
    x = 1,973,093.37/1,819.40
  6. Step 6: Final answer
    x = 1,084.47

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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.