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Finding the Fourth Proportional to 1,308.46, 1,961.32 and 814.88

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Solution

The fourth proportional to 1,308.46, 1,961.32 and 814.88 is: 1,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.46 : 1,961.32 = 814.88 : x
  2. Step 2: Convert to fraction form
    1,308.46/1,961.32 = 814.88/x
  3. Step 3: Cross multiply
    1,308.46x = 1,961.32 × 814.88
  4. Step 4: Simplify right side
    1,308.46x = 1,598,240.44
  5. Step 5: Solve for x
    x = 1,598,240.44/1,308.46
  6. Step 6: Final answer
    x = 1,221.47

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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.