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Finding the Fourth Proportional to 745.67, 1,120.53 and 399.26

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Solution

The fourth proportional to 745.67, 1,120.53 and 399.26 is: 599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.67 : 1,120.53 = 399.26 : x
  2. Step 2: Convert to fraction form
    745.67/1,120.53 = 399.26/x
  3. Step 3: Cross multiply
    745.67x = 1,120.53 × 399.26
  4. Step 4: Simplify right side
    745.67x = 447,382.81
  5. Step 5: Solve for x
    x = 447,382.81/745.67
  6. Step 6: Final answer
    x = 599.97

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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.