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Finding the Fourth Proportional to 1,680.09, 2,520.25 and 447.49

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Solution

The fourth proportional to 1,680.09, 2,520.25 and 447.49 is: 671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.09 : 2,520.25 = 447.49 : x
  2. Step 2: Convert to fraction form
    1,680.09/2,520.25 = 447.49/x
  3. Step 3: Cross multiply
    1,680.09x = 2,520.25 × 447.49
  4. Step 4: Simplify right side
    1,680.09x = 1,127,786.67
  5. Step 5: Solve for x
    x = 1,127,786.67/1,680.09
  6. Step 6: Final answer
    x = 671.27

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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.