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Finding the Fourth Proportional to 539.83, 745.37 and 477.73

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Solution

The fourth proportional to 539.83, 745.37 and 477.73 is: 659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.83 : 745.37 = 477.73 : x
  2. Step 2: Convert to fraction form
    539.83/745.37 = 477.73/x
  3. Step 3: Cross multiply
    539.83x = 745.37 × 477.73
  4. Step 4: Simplify right side
    539.83x = 356,085.61
  5. Step 5: Solve for x
    x = 356,085.61/539.83
  6. Step 6: Final answer
    x = 659.63

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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.