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Finding the Fourth Proportional to 2,620.22, 3,929.79 and 770.96

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Solution

The fourth proportional to 2,620.22, 3,929.79 and 770.96 is: 1,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.22 : 3,929.79 = 770.96 : x
  2. Step 2: Convert to fraction form
    2,620.22/3,929.79 = 770.96/x
  3. Step 3: Cross multiply
    2,620.22x = 3,929.79 × 770.96
  4. Step 4: Simplify right side
    2,620.22x = 3,029,710.90
  5. Step 5: Solve for x
    x = 3,029,710.90/2,620.22
  6. Step 6: Final answer
    x = 1,156.28

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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.