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Finding the Fourth Proportional to 604.31, 833.61 and 394.19

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Solution

The fourth proportional to 604.31, 833.61 and 394.19 is: 543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.31 : 833.61 = 394.19 : x
  2. Step 2: Convert to fraction form
    604.31/833.61 = 394.19/x
  3. Step 3: Cross multiply
    604.31x = 833.61 × 394.19
  4. Step 4: Simplify right side
    604.31x = 328,596.56
  5. Step 5: Solve for x
    x = 328,596.56/604.31
  6. Step 6: Final answer
    x = 543.76

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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.