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Finding the Fourth Proportional to 852.72, 1,169.92 and 811.44

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Solution

The fourth proportional to 852.72, 1,169.92 and 811.44 is: 1,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.72 : 1,169.92 = 811.44 : x
  2. Step 2: Convert to fraction form
    852.72/1,169.92 = 811.44/x
  3. Step 3: Cross multiply
    852.72x = 1,169.92 × 811.44
  4. Step 4: Simplify right side
    852.72x = 949,319.88
  5. Step 5: Solve for x
    x = 949,319.88/852.72
  6. Step 6: Final answer
    x = 1,113.28

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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.