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Finding the Fourth Proportional to 2,057.23, 3,085.94 and 576.55

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Solution

The fourth proportional to 2,057.23, 3,085.94 and 576.55 is: 864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.23 : 3,085.94 = 576.55 : x
  2. Step 2: Convert to fraction form
    2,057.23/3,085.94 = 576.55/x
  3. Step 3: Cross multiply
    2,057.23x = 3,085.94 × 576.55
  4. Step 4: Simplify right side
    2,057.23x = 1,779,198.71
  5. Step 5: Solve for x
    x = 1,779,198.71/2,057.23
  6. Step 6: Final answer
    x = 864.85

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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.