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Finding the Fourth Proportional to 892.37, 1,343.49 and 815.82

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Solution

The fourth proportional to 892.37, 1,343.49 and 815.82 is: 1,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.37 : 1,343.49 = 815.82 : x
  2. Step 2: Convert to fraction form
    892.37/1,343.49 = 815.82/x
  3. Step 3: Cross multiply
    892.37x = 1,343.49 × 815.82
  4. Step 4: Simplify right side
    892.37x = 1,096,046.01
  5. Step 5: Solve for x
    x = 1,096,046.01/892.37
  6. Step 6: Final answer
    x = 1,228.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.