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Finding the Fourth Proportional to 2,040.64, 3,060.96 and 579.92

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Solution

The fourth proportional to 2,040.64, 3,060.96 and 579.92 is: 869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.64 : 3,060.96 = 579.92 : x
  2. Step 2: Convert to fraction form
    2,040.64/3,060.96 = 579.92/x
  3. Step 3: Cross multiply
    2,040.64x = 3,060.96 × 579.92
  4. Step 4: Simplify right side
    2,040.64x = 1,775,111.92
  5. Step 5: Solve for x
    x = 1,775,111.92/2,040.64
  6. Step 6: Final answer
    x = 869.88

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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.