Home / 1,705.44-2,558.40-839.76

Finding the Fourth Proportional to 1,705.44, 2,558.40 and 839.76

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Solution

The fourth proportional to 1,705.44, 2,558.40 and 839.76 is: 1,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.44 : 2,558.40 = 839.76 : x
  2. Step 2: Convert to fraction form
    1,705.44/2,558.40 = 839.76/x
  3. Step 3: Cross multiply
    1,705.44x = 2,558.40 × 839.76
  4. Step 4: Simplify right side
    1,705.44x = 2,148,441.98
  5. Step 5: Solve for x
    x = 2,148,441.98/1,705.44
  6. Step 6: Final answer
    x = 1,259.76

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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.