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Finding the Fourth Proportional to 1,806.20, 2,709.32 and 573.62

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Solution

The fourth proportional to 1,806.20, 2,709.32 and 573.62 is: 860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.20 : 2,709.32 = 573.62 : x
  2. Step 2: Convert to fraction form
    1,806.20/2,709.32 = 573.62/x
  3. Step 3: Cross multiply
    1,806.20x = 2,709.32 × 573.62
  4. Step 4: Simplify right side
    1,806.20x = 1,554,120.14
  5. Step 5: Solve for x
    x = 1,554,120.14/1,806.20
  6. Step 6: Final answer
    x = 860.44

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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.