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Finding the Fourth Proportional to 822.27, 1,142.73 and 813.78

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Solution

The fourth proportional to 822.27, 1,142.73 and 813.78 is: 1,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.27 : 1,142.73 = 813.78 : x
  2. Step 2: Convert to fraction form
    822.27/1,142.73 = 813.78/x
  3. Step 3: Cross multiply
    822.27x = 1,142.73 × 813.78
  4. Step 4: Simplify right side
    822.27x = 929,930.82
  5. Step 5: Solve for x
    x = 929,930.82/822.27
  6. Step 6: Final answer
    x = 1,130.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.