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Finding the Fourth Proportional to 539.32, 743.07 and 450.49

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Solution

The fourth proportional to 539.32, 743.07 and 450.49 is: 620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.32 : 743.07 = 450.49 : x
  2. Step 2: Convert to fraction form
    539.32/743.07 = 450.49/x
  3. Step 3: Cross multiply
    539.32x = 743.07 × 450.49
  4. Step 4: Simplify right side
    539.32x = 334,745.60
  5. Step 5: Solve for x
    x = 334,745.60/539.32
  6. Step 6: Final answer
    x = 620.68

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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.