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Finding the Fourth Proportional to 828.36, 1,235.10 and 813.78

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Solution

The fourth proportional to 828.36, 1,235.10 and 813.78 is: 1,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.36 : 1,235.10 = 813.78 : x
  2. Step 2: Convert to fraction form
    828.36/1,235.10 = 813.78/x
  3. Step 3: Cross multiply
    828.36x = 1,235.10 × 813.78
  4. Step 4: Simplify right side
    828.36x = 1,005,099.68
  5. Step 5: Solve for x
    x = 1,005,099.68/828.36
  6. Step 6: Final answer
    x = 1,213.36

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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.