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Finding the Fourth Proportional to 604.38, 902.19 and 559.26

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Solution

The fourth proportional to 604.38, 902.19 and 559.26 is: 834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.38 : 902.19 = 559.26 : x
  2. Step 2: Convert to fraction form
    604.38/902.19 = 559.26/x
  3. Step 3: Cross multiply
    604.38x = 902.19 × 559.26
  4. Step 4: Simplify right side
    604.38x = 504,558.78
  5. Step 5: Solve for x
    x = 504,558.78/604.38
  6. Step 6: Final answer
    x = 834.84

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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.