Home / 1,705.11-2,555.82-825.75

Finding the Fourth Proportional to 1,705.11, 2,555.82 and 825.75

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Solution

The fourth proportional to 1,705.11, 2,555.82 and 825.75 is: 1,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.11 : 2,555.82 = 825.75 : x
  2. Step 2: Convert to fraction form
    1,705.11/2,555.82 = 825.75/x
  3. Step 3: Cross multiply
    1,705.11x = 2,555.82 × 825.75
  4. Step 4: Simplify right side
    1,705.11x = 2,110,455.59
  5. Step 5: Solve for x
    x = 2,110,455.59/1,705.11
  6. Step 6: Final answer
    x = 1,237.73

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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.