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Finding the Fourth Proportional to 2,040.83, 3,060.81 and 653.80

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Solution

The fourth proportional to 2,040.83, 3,060.81 and 653.80 is: 980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.83 : 3,060.81 = 653.80 : x
  2. Step 2: Convert to fraction form
    2,040.83/3,060.81 = 653.80/x
  3. Step 3: Cross multiply
    2,040.83x = 3,060.81 × 653.80
  4. Step 4: Simplify right side
    2,040.83x = 2,001,149.81
  5. Step 5: Solve for x
    x = 2,001,149.81/2,040.83
  6. Step 6: Final answer
    x = 980.56

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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.