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Finding the Fourth Proportional to 605.76, 836.34 and 540.15

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Solution

The fourth proportional to 605.76, 836.34 and 540.15 is: 745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 836.34 = 540.15 : x
  2. Step 2: Convert to fraction form
    605.76/836.34 = 540.15/x
  3. Step 3: Cross multiply
    605.76x = 836.34 × 540.15
  4. Step 4: Simplify right side
    605.76x = 451,749.05
  5. Step 5: Solve for x
    x = 451,749.05/605.76
  6. Step 6: Final answer
    x = 745.76

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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.