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Finding the Fourth Proportional to 822.30, 1,230.71 and 811.37

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Solution

The fourth proportional to 822.30, 1,230.71 and 811.37 is: 1,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.30 : 1,230.71 = 811.37 : x
  2. Step 2: Convert to fraction form
    822.30/1,230.71 = 811.37/x
  3. Step 3: Cross multiply
    822.30x = 1,230.71 × 811.37
  4. Step 4: Simplify right side
    822.30x = 998,550.96
  5. Step 5: Solve for x
    x = 998,550.96/822.30
  6. Step 6: Final answer
    x = 1,214.34

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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.