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Finding the Fourth Proportional to 2,550.68, 3,825.98 and 701.79

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Solution

The fourth proportional to 2,550.68, 3,825.98 and 701.79 is: 1,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.68 : 3,825.98 = 701.79 : x
  2. Step 2: Convert to fraction form
    2,550.68/3,825.98 = 701.79/x
  3. Step 3: Cross multiply
    2,550.68x = 3,825.98 × 701.79
  4. Step 4: Simplify right side
    2,550.68x = 2,685,034.50
  5. Step 5: Solve for x
    x = 2,685,034.50/2,550.68
  6. Step 6: Final answer
    x = 1,052.67

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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.