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Finding the Fourth Proportional to 1,305.94, 1,955.31 and 842.56

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Solution

The fourth proportional to 1,305.94, 1,955.31 and 842.56 is: 1,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.94 : 1,955.31 = 842.56 : x
  2. Step 2: Convert to fraction form
    1,305.94/1,955.31 = 842.56/x
  3. Step 3: Cross multiply
    1,305.94x = 1,955.31 × 842.56
  4. Step 4: Simplify right side
    1,305.94x = 1,647,478.80
  5. Step 5: Solve for x
    x = 1,647,478.80/1,305.94
  6. Step 6: Final answer
    x = 1,261.53

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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.