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Finding the Fourth Proportional to 1,705.12, 2,352.98 and 996.98

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Solution

The fourth proportional to 1,705.12, 2,352.98 and 996.98 is: 1,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.12 : 2,352.98 = 996.98 : x
  2. Step 2: Convert to fraction form
    1,705.12/2,352.98 = 996.98/x
  3. Step 3: Cross multiply
    1,705.12x = 2,352.98 × 996.98
  4. Step 4: Simplify right side
    1,705.12x = 2,345,864.73
  5. Step 5: Solve for x
    x = 2,345,864.73/1,705.12
  6. Step 6: Final answer
    x = 1,375.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.