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Finding the Fourth Proportional to 603.82, 833.16 and 367.71

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Solution

The fourth proportional to 603.82, 833.16 and 367.71 is: 507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 833.16 = 367.71 : x
  2. Step 2: Convert to fraction form
    603.82/833.16 = 367.71/x
  3. Step 3: Cross multiply
    603.82x = 833.16 × 367.71
  4. Step 4: Simplify right side
    603.82x = 306,361.26
  5. Step 5: Solve for x
    x = 306,361.26/603.82
  6. Step 6: Final answer
    x = 507.37

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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.