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Finding the Fourth Proportional to 539.96, 745.19 and 353.54

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Solution

The fourth proportional to 539.96, 745.19 and 353.54 is: 487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.96 : 745.19 = 353.54 : x
  2. Step 2: Convert to fraction form
    539.96/745.19 = 353.54/x
  3. Step 3: Cross multiply
    539.96x = 745.19 × 353.54
  4. Step 4: Simplify right side
    539.96x = 263,455.89
  5. Step 5: Solve for x
    x = 263,455.89/539.96
  6. Step 6: Final answer
    x = 487.92

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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.