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Finding the Fourth Proportional to 1,806.75, 2,709.89 and 490.59

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Solution

The fourth proportional to 1,806.75, 2,709.89 and 490.59 is: 735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.75 : 2,709.89 = 490.59 : x
  2. Step 2: Convert to fraction form
    1,806.75/2,709.89 = 490.59/x
  3. Step 3: Cross multiply
    1,806.75x = 2,709.89 × 490.59
  4. Step 4: Simplify right side
    1,806.75x = 1,329,454.72
  5. Step 5: Solve for x
    x = 1,329,454.72/1,806.75
  6. Step 6: Final answer
    x = 735.83

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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.