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Finding the Fourth Proportional to 539.66, 739.33 and 520.22

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Solution

The fourth proportional to 539.66, 739.33 and 520.22 is: 712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.66 : 739.33 = 520.22 : x
  2. Step 2: Convert to fraction form
    539.66/739.33 = 520.22/x
  3. Step 3: Cross multiply
    539.66x = 739.33 × 520.22
  4. Step 4: Simplify right side
    539.66x = 384,614.25
  5. Step 5: Solve for x
    x = 384,614.25/539.66
  6. Step 6: Final answer
    x = 712.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.