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Finding the Fourth Proportional to 822.53, 1,232.82 and 813.39

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Solution

The fourth proportional to 822.53, 1,232.82 and 813.39 is: 1,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.53 : 1,232.82 = 813.39 : x
  2. Step 2: Convert to fraction form
    822.53/1,232.82 = 813.39/x
  3. Step 3: Cross multiply
    822.53x = 1,232.82 × 813.39
  4. Step 4: Simplify right side
    822.53x = 1,002,763.46
  5. Step 5: Solve for x
    x = 1,002,763.46/822.53
  6. Step 6: Final answer
    x = 1,219.13

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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.