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Finding the Fourth Proportional to 1,308.03, 1,961.91 and 819.60

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Solution

The fourth proportional to 1,308.03, 1,961.91 and 819.60 is: 1,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.03 : 1,961.91 = 819.60 : x
  2. Step 2: Convert to fraction form
    1,308.03/1,961.91 = 819.60/x
  3. Step 3: Cross multiply
    1,308.03x = 1,961.91 × 819.60
  4. Step 4: Simplify right side
    1,308.03x = 1,607,981.44
  5. Step 5: Solve for x
    x = 1,607,981.44/1,308.03
  6. Step 6: Final answer
    x = 1,229.32

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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.