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Finding the Fourth Proportional to 1,235.08, 1,850.76 and 541.09

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Solution

The fourth proportional to 1,235.08, 1,850.76 and 541.09 is: 810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.08 : 1,850.76 = 541.09 : x
  2. Step 2: Convert to fraction form
    1,235.08/1,850.76 = 541.09/x
  3. Step 3: Cross multiply
    1,235.08x = 1,850.76 × 541.09
  4. Step 4: Simplify right side
    1,235.08x = 1,001,427.73
  5. Step 5: Solve for x
    x = 1,001,427.73/1,235.08
  6. Step 6: Final answer
    x = 810.82

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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.