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Finding the Fourth Proportional to 2,020.30, 3,030 and 559.66

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Solution

The fourth proportional to 2,020.30, 3,030 and 559.66 is: 839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.30 : 3,030 = 559.66 : x
  2. Step 2: Convert to fraction form
    2,020.30/3,030 = 559.66/x
  3. Step 3: Cross multiply
    2,020.30x = 3,030 × 559.66
  4. Step 4: Simplify right side
    2,020.30x = 1,695,769.80
  5. Step 5: Solve for x
    x = 1,695,769.80/2,020.30
  6. Step 6: Final answer
    x = 839.37

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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.