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Finding the Fourth Proportional to 539.86, 745.07 and 353.51

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Solution

The fourth proportional to 539.86, 745.07 and 353.51 is: 487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.86 : 745.07 = 353.51 : x
  2. Step 2: Convert to fraction form
    539.86/745.07 = 353.51/x
  3. Step 3: Cross multiply
    539.86x = 745.07 × 353.51
  4. Step 4: Simplify right side
    539.86x = 263,386.85
  5. Step 5: Solve for x
    x = 263,386.85/539.86
  6. Step 6: Final answer
    x = 487.88

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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.