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Finding the Fourth Proportional to 819.96, 1,235.73 and 771.32

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Solution

The fourth proportional to 819.96, 1,235.73 and 771.32 is: 1,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.96 : 1,235.73 = 771.32 : x
  2. Step 2: Convert to fraction form
    819.96/1,235.73 = 771.32/x
  3. Step 3: Cross multiply
    819.96x = 1,235.73 × 771.32
  4. Step 4: Simplify right side
    819.96x = 953,143.26
  5. Step 5: Solve for x
    x = 953,143.26/819.96
  6. Step 6: Final answer
    x = 1,162.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.