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Finding the Fourth Proportional to 604.26, 905.48 and 360.65

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Solution

The fourth proportional to 604.26, 905.48 and 360.65 is: 540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.26 : 905.48 = 360.65 : x
  2. Step 2: Convert to fraction form
    604.26/905.48 = 360.65/x
  3. Step 3: Cross multiply
    604.26x = 905.48 × 360.65
  4. Step 4: Simplify right side
    604.26x = 326,563.17
  5. Step 5: Solve for x
    x = 326,563.17/604.26
  6. Step 6: Final answer
    x = 540.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.