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Finding the Fourth Proportional to 892.86, 1,229.34 and 810.85

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Solution

The fourth proportional to 892.86, 1,229.34 and 810.85 is: 1,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.86 : 1,229.34 = 810.85 : x
  2. Step 2: Convert to fraction form
    892.86/1,229.34 = 810.85/x
  3. Step 3: Cross multiply
    892.86x = 1,229.34 × 810.85
  4. Step 4: Simplify right side
    892.86x = 996,804.19
  5. Step 5: Solve for x
    x = 996,804.19/892.86
  6. Step 6: Final answer
    x = 1,116.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.