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Finding the Fourth Proportional to 1,705.56, 2,556.72 and 550.50

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Solution

The fourth proportional to 1,705.56, 2,556.72 and 550.50 is: 825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.56 : 2,556.72 = 550.50 : x
  2. Step 2: Convert to fraction form
    1,705.56/2,556.72 = 550.50/x
  3. Step 3: Cross multiply
    1,705.56x = 2,556.72 × 550.50
  4. Step 4: Simplify right side
    1,705.56x = 1,407,474.36
  5. Step 5: Solve for x
    x = 1,407,474.36/1,705.56
  6. Step 6: Final answer
    x = 825.23

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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.