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Finding the Fourth Proportional to 1,630.82, 2,446.83 and 657.20

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Solution

The fourth proportional to 1,630.82, 2,446.83 and 657.20 is: 986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.82 : 2,446.83 = 657.20 : x
  2. Step 2: Convert to fraction form
    1,630.82/2,446.83 = 657.20/x
  3. Step 3: Cross multiply
    1,630.82x = 2,446.83 × 657.20
  4. Step 4: Simplify right side
    1,630.82x = 1,608,044.44
  5. Step 5: Solve for x
    x = 1,608,044.44/1,630.82
  6. Step 6: Final answer
    x = 986.04

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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.