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Finding the Fourth Proportional to 603.82, 833.05 and 367.67

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Solution

The fourth proportional to 603.82, 833.05 and 367.67 is: 507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 833.05 = 367.67 : x
  2. Step 2: Convert to fraction form
    603.82/833.05 = 367.67/x
  3. Step 3: Cross multiply
    603.82x = 833.05 × 367.67
  4. Step 4: Simplify right side
    603.82x = 306,287.49
  5. Step 5: Solve for x
    x = 306,287.49/603.82
  6. Step 6: Final answer
    x = 507.25

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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.