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Finding the Fourth Proportional to 604.53, 906.86 and 219.69

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Solution

The fourth proportional to 604.53, 906.86 and 219.69 is: 329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.53 : 906.86 = 219.69 : x
  2. Step 2: Convert to fraction form
    604.53/906.86 = 219.69/x
  3. Step 3: Cross multiply
    604.53x = 906.86 × 219.69
  4. Step 4: Simplify right side
    604.53x = 199,228.07
  5. Step 5: Solve for x
    x = 199,228.07/604.53
  6. Step 6: Final answer
    x = 329.56

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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.