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Finding the Fourth Proportional to 1,243.23, 1,863.86 and 852.05

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Solution

The fourth proportional to 1,243.23, 1,863.86 and 852.05 is: 1,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.23 : 1,863.86 = 852.05 : x
  2. Step 2: Convert to fraction form
    1,243.23/1,863.86 = 852.05/x
  3. Step 3: Cross multiply
    1,243.23x = 1,863.86 × 852.05
  4. Step 4: Simplify right side
    1,243.23x = 1,588,088.33
  5. Step 5: Solve for x
    x = 1,588,088.33/1,243.23
  6. Step 6: Final answer
    x = 1,277.39

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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.