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Finding the Fourth Proportional to 1,362.09, 2,042.91 and 387.96

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Solution

The fourth proportional to 1,362.09, 2,042.91 and 387.96 is: 581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.09 : 2,042.91 = 387.96 : x
  2. Step 2: Convert to fraction form
    1,362.09/2,042.91 = 387.96/x
  3. Step 3: Cross multiply
    1,362.09x = 2,042.91 × 387.96
  4. Step 4: Simplify right side
    1,362.09x = 792,567.36
  5. Step 5: Solve for x
    x = 792,567.36/1,362.09
  6. Step 6: Final answer
    x = 581.88

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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.