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Finding the Fourth Proportional to 1,680.24, 2,520.16 and 447.74

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Solution

The fourth proportional to 1,680.24, 2,520.16 and 447.74 is: 671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.24 : 2,520.16 = 447.74 : x
  2. Step 2: Convert to fraction form
    1,680.24/2,520.16 = 447.74/x
  3. Step 3: Cross multiply
    1,680.24x = 2,520.16 × 447.74
  4. Step 4: Simplify right side
    1,680.24x = 1,128,376.44
  5. Step 5: Solve for x
    x = 1,128,376.44/1,680.24
  6. Step 6: Final answer
    x = 671.56

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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.