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Finding the Fourth Proportional to 1,680.80, 2,520.64 and 814.56

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Solution

The fourth proportional to 1,680.80, 2,520.64 and 814.56 is: 1,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.80 : 2,520.64 = 814.56 : x
  2. Step 2: Convert to fraction form
    1,680.80/2,520.64 = 814.56/x
  3. Step 3: Cross multiply
    1,680.80x = 2,520.64 × 814.56
  4. Step 4: Simplify right side
    1,680.80x = 2,053,212.52
  5. Step 5: Solve for x
    x = 2,053,212.52/1,680.80
  6. Step 6: Final answer
    x = 1,221.57

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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.