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Finding the Fourth Proportional to 892.67, 1,225.08 and 821.94

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Solution

The fourth proportional to 892.67, 1,225.08 and 821.94 is: 1,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.67 : 1,225.08 = 821.94 : x
  2. Step 2: Convert to fraction form
    892.67/1,225.08 = 821.94/x
  3. Step 3: Cross multiply
    892.67x = 1,225.08 × 821.94
  4. Step 4: Simplify right side
    892.67x = 1,006,942.26
  5. Step 5: Solve for x
    x = 1,006,942.26/892.67
  6. Step 6: Final answer
    x = 1,128.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.