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Finding the Fourth Proportional to 1,766.85, 2,647.98 and 725.67

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Solution

The fourth proportional to 1,766.85, 2,647.98 and 725.67 is: 1,087.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.85 : 2,647.98 = 725.67 : x
  2. Step 2: Convert to fraction form
    1,766.85/2,647.98 = 725.67/x
  3. Step 3: Cross multiply
    1,766.85x = 2,647.98 × 725.67
  4. Step 4: Simplify right side
    1,766.85x = 1,921,559.65
  5. Step 5: Solve for x
    x = 1,921,559.65/1,766.85
  6. Step 6: Final answer
    x = 1,087.56

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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.