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Finding the Fourth Proportional to 604.46, 833.90 and 394.67

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Solution

The fourth proportional to 604.46, 833.90 and 394.67 is: 544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.46 : 833.90 = 394.67 : x
  2. Step 2: Convert to fraction form
    604.46/833.90 = 394.67/x
  3. Step 3: Cross multiply
    604.46x = 833.90 × 394.67
  4. Step 4: Simplify right side
    604.46x = 329,115.42
  5. Step 5: Solve for x
    x = 329,115.42/604.46
  6. Step 6: Final answer
    x = 544.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.