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Finding the Fourth Proportional to 540.22, 745.86 and 481.90

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Solution

The fourth proportional to 540.22, 745.86 and 481.90 is: 665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.22 : 745.86 = 481.90 : x
  2. Step 2: Convert to fraction form
    540.22/745.86 = 481.90/x
  3. Step 3: Cross multiply
    540.22x = 745.86 × 481.90
  4. Step 4: Simplify right side
    540.22x = 359,429.93
  5. Step 5: Solve for x
    x = 359,429.93/540.22
  6. Step 6: Final answer
    x = 665.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.