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Finding the Fourth Proportional to 1,640.65, 2,460.54 and 1,120.56

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Solution

The fourth proportional to 1,640.65, 2,460.54 and 1,120.56 is: 1,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.65 : 2,460.54 = 1,120.56 : x
  2. Step 2: Convert to fraction form
    1,640.65/2,460.54 = 1,120.56/x
  3. Step 3: Cross multiply
    1,640.65x = 2,460.54 × 1,120.56
  4. Step 4: Simplify right side
    1,640.65x = 2,757,182.70
  5. Step 5: Solve for x
    x = 2,757,182.70/1,640.65
  6. Step 6: Final answer
    x = 1,680.54

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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.