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Finding the Fourth Proportional to 1,307.34, 1,961.46 and 819.82

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Solution

The fourth proportional to 1,307.34, 1,961.46 and 819.82 is: 1,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.34 : 1,961.46 = 819.82 : x
  2. Step 2: Convert to fraction form
    1,307.34/1,961.46 = 819.82/x
  3. Step 3: Cross multiply
    1,307.34x = 1,961.46 × 819.82
  4. Step 4: Simplify right side
    1,307.34x = 1,608,044.14
  5. Step 5: Solve for x
    x = 1,608,044.14/1,307.34
  6. Step 6: Final answer
    x = 1,230.01

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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.