Home / 1,803.40-2,705.26-829.96

Finding the Fourth Proportional to 1,803.40, 2,705.26 and 829.96

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Solution

The fourth proportional to 1,803.40, 2,705.26 and 829.96 is: 1,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.40 : 2,705.26 = 829.96 : x
  2. Step 2: Convert to fraction form
    1,803.40/2,705.26 = 829.96/x
  3. Step 3: Cross multiply
    1,803.40x = 2,705.26 × 829.96
  4. Step 4: Simplify right side
    1,803.40x = 2,245,257.59
  5. Step 5: Solve for x
    x = 2,245,257.59/1,803.40
  6. Step 6: Final answer
    x = 1,245.01

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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.