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Finding the Fourth Proportional to 1,896.90, 2,845.32 and 580.65

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Solution

The fourth proportional to 1,896.90, 2,845.32 and 580.65 is: 870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.90 : 2,845.32 = 580.65 : x
  2. Step 2: Convert to fraction form
    1,896.90/2,845.32 = 580.65/x
  3. Step 3: Cross multiply
    1,896.90x = 2,845.32 × 580.65
  4. Step 4: Simplify right side
    1,896.90x = 1,652,135.06
  5. Step 5: Solve for x
    x = 1,652,135.06/1,896.90
  6. Step 6: Final answer
    x = 870.97

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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.