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Finding the Fourth Proportional to 828.67, 1,233.99 and 819.58

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Solution

The fourth proportional to 828.67, 1,233.99 and 819.58 is: 1,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.67 : 1,233.99 = 819.58 : x
  2. Step 2: Convert to fraction form
    828.67/1,233.99 = 819.58/x
  3. Step 3: Cross multiply
    828.67x = 1,233.99 × 819.58
  4. Step 4: Simplify right side
    828.67x = 1,011,353.52
  5. Step 5: Solve for x
    x = 1,011,353.52/828.67
  6. Step 6: Final answer
    x = 1,220.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.