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Finding the Fourth Proportional to 1,238.09, 1,857.08 and 372.38

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Solution

The fourth proportional to 1,238.09, 1,857.08 and 372.38 is: 558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.09 : 1,857.08 = 372.38 : x
  2. Step 2: Convert to fraction form
    1,238.09/1,857.08 = 372.38/x
  3. Step 3: Cross multiply
    1,238.09x = 1,857.08 × 372.38
  4. Step 4: Simplify right side
    1,238.09x = 691,531.10
  5. Step 5: Solve for x
    x = 691,531.10/1,238.09
  6. Step 6: Final answer
    x = 558.55

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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.