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Finding the Fourth Proportional to 2,020.22, 3,029.93 and 559.34

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Solution

The fourth proportional to 2,020.22, 3,029.93 and 559.34 is: 838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.22 : 3,029.93 = 559.34 : x
  2. Step 2: Convert to fraction form
    2,020.22/3,029.93 = 559.34/x
  3. Step 3: Cross multiply
    2,020.22x = 3,029.93 × 559.34
  4. Step 4: Simplify right side
    2,020.22x = 1,694,758.25
  5. Step 5: Solve for x
    x = 1,694,758.25/2,020.22
  6. Step 6: Final answer
    x = 838.90

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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.