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Finding the Fourth Proportional to 745.90, 1,120.86 and 399.48

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Solution

The fourth proportional to 745.90, 1,120.86 and 399.48 is: 600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.90 : 1,120.86 = 399.48 : x
  2. Step 2: Convert to fraction form
    745.90/1,120.86 = 399.48/x
  3. Step 3: Cross multiply
    745.90x = 1,120.86 × 399.48
  4. Step 4: Simplify right side
    745.90x = 447,761.15
  5. Step 5: Solve for x
    x = 447,761.15/745.90
  6. Step 6: Final answer
    x = 600.30

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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.