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Finding the Fourth Proportional to 662.01, 913.62 and 367.37

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Solution

The fourth proportional to 662.01, 913.62 and 367.37 is: 506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.01 : 913.62 = 367.37 : x
  2. Step 2: Convert to fraction form
    662.01/913.62 = 367.37/x
  3. Step 3: Cross multiply
    662.01x = 913.62 × 367.37
  4. Step 4: Simplify right side
    662.01x = 335,632.01
  5. Step 5: Solve for x
    x = 335,632.01/662.01
  6. Step 6: Final answer
    x = 506.99

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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.