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Finding the Fourth Proportional to 820.70, 1,228.61 and 819.62

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Solution

The fourth proportional to 820.70, 1,228.61 and 819.62 is: 1,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.70 : 1,228.61 = 819.62 : x
  2. Step 2: Convert to fraction form
    820.70/1,228.61 = 819.62/x
  3. Step 3: Cross multiply
    820.70x = 1,228.61 × 819.62
  4. Step 4: Simplify right side
    820.70x = 1,006,983.09
  5. Step 5: Solve for x
    x = 1,006,983.09/820.70
  6. Step 6: Final answer
    x = 1,226.99

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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.