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Finding the Fourth Proportional to 1,680.70, 2,520.81 and 448

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Solution

The fourth proportional to 1,680.70, 2,520.81 and 448 is: 671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.70 : 2,520.81 = 448 : x
  2. Step 2: Convert to fraction form
    1,680.70/2,520.81 = 448/x
  3. Step 3: Cross multiply
    1,680.70x = 2,520.81 × 448
  4. Step 4: Simplify right side
    1,680.70x = 1,129,322.88
  5. Step 5: Solve for x
    x = 1,129,322.88/1,680.70
  6. Step 6: Final answer
    x = 671.94

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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.