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Finding the Fourth Proportional to 1,855.38, 2,782.26 and 556.55

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Solution

The fourth proportional to 1,855.38, 2,782.26 and 556.55 is: 834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.38 : 2,782.26 = 556.55 : x
  2. Step 2: Convert to fraction form
    1,855.38/2,782.26 = 556.55/x
  3. Step 3: Cross multiply
    1,855.38x = 2,782.26 × 556.55
  4. Step 4: Simplify right side
    1,855.38x = 1,548,466.80
  5. Step 5: Solve for x
    x = 1,548,466.80/1,855.38
  6. Step 6: Final answer
    x = 834.58

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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.