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Finding the Fourth Proportional to 2,019.30, 3,029.07 and 720.77

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Solution

The fourth proportional to 2,019.30, 3,029.07 and 720.77 is: 1,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.30 : 3,029.07 = 720.77 : x
  2. Step 2: Convert to fraction form
    2,019.30/3,029.07 = 720.77/x
  3. Step 3: Cross multiply
    2,019.30x = 3,029.07 × 720.77
  4. Step 4: Simplify right side
    2,019.30x = 2,183,273.87
  5. Step 5: Solve for x
    x = 2,183,273.87/2,019.30
  6. Step 6: Final answer
    x = 1,081.20

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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.