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Finding the Fourth Proportional to 1,212.78, 1,819.80 and 635.70

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Solution

The fourth proportional to 1,212.78, 1,819.80 and 635.70 is: 953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.78 : 1,819.80 = 635.70 : x
  2. Step 2: Convert to fraction form
    1,212.78/1,819.80 = 635.70/x
  3. Step 3: Cross multiply
    1,212.78x = 1,819.80 × 635.70
  4. Step 4: Simplify right side
    1,212.78x = 1,156,846.86
  5. Step 5: Solve for x
    x = 1,156,846.86/1,212.78
  6. Step 6: Final answer
    x = 953.88

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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.