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Finding the Fourth Proportional to 3,105.99, 4,658.99 and 765.99

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Solution

The fourth proportional to 3,105.99, 4,658.99 and 765.99 is: 1,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.99 : 4,658.99 = 765.99 : x
  2. Step 2: Convert to fraction form
    3,105.99/4,658.99 = 765.99/x
  3. Step 3: Cross multiply
    3,105.99x = 4,658.99 × 765.99
  4. Step 4: Simplify right side
    3,105.99x = 3,568,735.92
  5. Step 5: Solve for x
    x = 3,568,735.92/3,105.99
  6. Step 6: Final answer
    x = 1,148.99

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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.