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Finding the Fourth Proportional to 539.14, 742.83 and 450.30

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Solution

The fourth proportional to 539.14, 742.83 and 450.30 is: 620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.14 : 742.83 = 450.30 : x
  2. Step 2: Convert to fraction form
    539.14/742.83 = 450.30/x
  3. Step 3: Cross multiply
    539.14x = 742.83 × 450.30
  4. Step 4: Simplify right side
    539.14x = 334,496.35
  5. Step 5: Solve for x
    x = 334,496.35/539.14
  6. Step 6: Final answer
    x = 620.43

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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.