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Finding the Fourth Proportional to 1,871.23, 2,806.83 and 484.57

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Solution

The fourth proportional to 1,871.23, 2,806.83 and 484.57 is: 726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.23 : 2,806.83 = 484.57 : x
  2. Step 2: Convert to fraction form
    1,871.23/2,806.83 = 484.57/x
  3. Step 3: Cross multiply
    1,871.23x = 2,806.83 × 484.57
  4. Step 4: Simplify right side
    1,871.23x = 1,360,091.97
  5. Step 5: Solve for x
    x = 1,360,091.97/1,871.23
  6. Step 6: Final answer
    x = 726.85

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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.