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Finding the Fourth Proportional to 1,904.55, 2,855.17 and 849.57

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Solution

The fourth proportional to 1,904.55, 2,855.17 and 849.57 is: 1,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.55 : 2,855.17 = 849.57 : x
  2. Step 2: Convert to fraction form
    1,904.55/2,855.17 = 849.57/x
  3. Step 3: Cross multiply
    1,904.55x = 2,855.17 × 849.57
  4. Step 4: Simplify right side
    1,904.55x = 2,425,653.95
  5. Step 5: Solve for x
    x = 2,425,653.95/1,904.55
  6. Step 6: Final answer
    x = 1,273.61

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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.