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Finding the Fourth Proportional to 539.22, 743.54 and 364.26

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Solution

The fourth proportional to 539.22, 743.54 and 364.26 is: 502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.22 : 743.54 = 364.26 : x
  2. Step 2: Convert to fraction form
    539.22/743.54 = 364.26/x
  3. Step 3: Cross multiply
    539.22x = 743.54 × 364.26
  4. Step 4: Simplify right side
    539.22x = 270,840.06
  5. Step 5: Solve for x
    x = 270,840.06/539.22
  6. Step 6: Final answer
    x = 502.28

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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.