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Finding the Fourth Proportional to 2,185.77, 3,278.59 and 704.99

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Solution

The fourth proportional to 2,185.77, 3,278.59 and 704.99 is: 1,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.77 : 3,278.59 = 704.99 : x
  2. Step 2: Convert to fraction form
    2,185.77/3,278.59 = 704.99/x
  3. Step 3: Cross multiply
    2,185.77x = 3,278.59 × 704.99
  4. Step 4: Simplify right side
    2,185.77x = 2,311,365.12
  5. Step 5: Solve for x
    x = 2,311,365.12/2,185.77
  6. Step 6: Final answer
    x = 1,057.46

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1.5x scale

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.