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Finding the Fourth Proportional to 539.73, 804.90 and 475.03

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Solution

The fourth proportional to 539.73, 804.90 and 475.03 is: 708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.73 : 804.90 = 475.03 : x
  2. Step 2: Convert to fraction form
    539.73/804.90 = 475.03/x
  3. Step 3: Cross multiply
    539.73x = 804.90 × 475.03
  4. Step 4: Simplify right side
    539.73x = 382,351.65
  5. Step 5: Solve for x
    x = 382,351.65/539.73
  6. Step 6: Final answer
    x = 708.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.