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Finding the Fourth Proportional to 745.89, 1,119.12 and 399.21

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Solution

The fourth proportional to 745.89, 1,119.12 and 399.21 is: 598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.89 : 1,119.12 = 399.21 : x
  2. Step 2: Convert to fraction form
    745.89/1,119.12 = 399.21/x
  3. Step 3: Cross multiply
    745.89x = 1,119.12 × 399.21
  4. Step 4: Simplify right side
    745.89x = 446,763.90
  5. Step 5: Solve for x
    x = 446,763.90/745.89
  6. Step 6: Final answer
    x = 598.97

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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.