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Finding the Fourth Proportional to 851.92, 1,276.80 and 721.44

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Solution

The fourth proportional to 851.92, 1,276.80 and 721.44 is: 1,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.92 : 1,276.80 = 721.44 : x
  2. Step 2: Convert to fraction form
    851.92/1,276.80 = 721.44/x
  3. Step 3: Cross multiply
    851.92x = 1,276.80 × 721.44
  4. Step 4: Simplify right side
    851.92x = 921,134.59
  5. Step 5: Solve for x
    x = 921,134.59/851.92
  6. Step 6: Final answer
    x = 1,081.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.