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Finding the Fourth Proportional to 892.19, 1,330.26 and 861.63

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Solution

The fourth proportional to 892.19, 1,330.26 and 861.63 is: 1,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.19 : 1,330.26 = 861.63 : x
  2. Step 2: Convert to fraction form
    892.19/1,330.26 = 861.63/x
  3. Step 3: Cross multiply
    892.19x = 1,330.26 × 861.63
  4. Step 4: Simplify right side
    892.19x = 1,146,183.70
  5. Step 5: Solve for x
    x = 1,146,183.70/892.19
  6. Step 6: Final answer
    x = 1,284.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.