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Finding the Fourth Proportional to 1,895.89, 2,843.82 and 579.64

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Solution

The fourth proportional to 1,895.89, 2,843.82 and 579.64 is: 869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.89 : 2,843.82 = 579.64 : x
  2. Step 2: Convert to fraction form
    1,895.89/2,843.82 = 579.64/x
  3. Step 3: Cross multiply
    1,895.89x = 2,843.82 × 579.64
  4. Step 4: Simplify right side
    1,895.89x = 1,648,391.82
  5. Step 5: Solve for x
    x = 1,648,391.82/1,895.89
  6. Step 6: Final answer
    x = 869.46

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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.