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Finding the Fourth Proportional to 1,171.98, 1,754.28 and 842.22

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Solution

The fourth proportional to 1,171.98, 1,754.28 and 842.22 is: 1,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.98 : 1,754.28 = 842.22 : x
  2. Step 2: Convert to fraction form
    1,171.98/1,754.28 = 842.22/x
  3. Step 3: Cross multiply
    1,171.98x = 1,754.28 × 842.22
  4. Step 4: Simplify right side
    1,171.98x = 1,477,489.70
  5. Step 5: Solve for x
    x = 1,477,489.70/1,171.98
  6. Step 6: Final answer
    x = 1,260.68

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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.