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Finding the Fourth Proportional to 2,966.85, 4,450.53 and 775.57

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Solution

The fourth proportional to 2,966.85, 4,450.53 and 775.57 is: 1,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.85 : 4,450.53 = 775.57 : x
  2. Step 2: Convert to fraction form
    2,966.85/4,450.53 = 775.57/x
  3. Step 3: Cross multiply
    2,966.85x = 4,450.53 × 775.57
  4. Step 4: Simplify right side
    2,966.85x = 3,451,697.55
  5. Step 5: Solve for x
    x = 3,451,697.55/2,966.85
  6. Step 6: Final answer
    x = 1,163.42

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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.