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Finding the Fourth Proportional to 745.85, 1,119.09 and 399.09

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Solution

The fourth proportional to 745.85, 1,119.09 and 399.09 is: 598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.85 : 1,119.09 = 399.09 : x
  2. Step 2: Convert to fraction form
    745.85/1,119.09 = 399.09/x
  3. Step 3: Cross multiply
    745.85x = 1,119.09 × 399.09
  4. Step 4: Simplify right side
    745.85x = 446,622.20
  5. Step 5: Solve for x
    x = 446,622.20/745.85
  6. Step 6: Final answer
    x = 598.81

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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.