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Finding the Fourth Proportional to 604.90, 905.80 and 419.54

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Solution

The fourth proportional to 604.90, 905.80 and 419.54 is: 628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.90 : 905.80 = 419.54 : x
  2. Step 2: Convert to fraction form
    604.90/905.80 = 419.54/x
  3. Step 3: Cross multiply
    604.90x = 905.80 × 419.54
  4. Step 4: Simplify right side
    604.90x = 380,013.75
  5. Step 5: Solve for x
    x = 380,013.75/604.90
  6. Step 6: Final answer
    x = 628.23

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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.