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Finding the Fourth Proportional to 1,236.90, 1,855.53 and 543.54

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Solution

The fourth proportional to 1,236.90, 1,855.53 and 543.54 is: 815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.90 : 1,855.53 = 543.54 : x
  2. Step 2: Convert to fraction form
    1,236.90/1,855.53 = 543.54/x
  3. Step 3: Cross multiply
    1,236.90x = 1,855.53 × 543.54
  4. Step 4: Simplify right side
    1,236.90x = 1,008,554.78
  5. Step 5: Solve for x
    x = 1,008,554.78/1,236.90
  6. Step 6: Final answer
    x = 815.39

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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.