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Finding the Fourth Proportional to 1,257.19, 1,886.25 and 842.42

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Solution

The fourth proportional to 1,257.19, 1,886.25 and 842.42 is: 1,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.19 : 1,886.25 = 842.42 : x
  2. Step 2: Convert to fraction form
    1,257.19/1,886.25 = 842.42/x
  3. Step 3: Cross multiply
    1,257.19x = 1,886.25 × 842.42
  4. Step 4: Simplify right side
    1,257.19x = 1,589,014.73
  5. Step 5: Solve for x
    x = 1,589,014.73/1,257.19
  6. Step 6: Final answer
    x = 1,263.94

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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.