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Finding the Fourth Proportional to 604.12, 833.90 and 367.96

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Solution

The fourth proportional to 604.12, 833.90 and 367.96 is: 507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.12 : 833.90 = 367.96 : x
  2. Step 2: Convert to fraction form
    604.12/833.90 = 367.96/x
  3. Step 3: Cross multiply
    604.12x = 833.90 × 367.96
  4. Step 4: Simplify right side
    604.12x = 306,841.84
  5. Step 5: Solve for x
    x = 306,841.84/604.12
  6. Step 6: Final answer
    x = 507.92

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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.