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Finding the Fourth Proportional to 662.16, 913.69 and 367.42

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Solution

The fourth proportional to 662.16, 913.69 and 367.42 is: 506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 913.69 = 367.42 : x
  2. Step 2: Convert to fraction form
    662.16/913.69 = 367.42/x
  3. Step 3: Cross multiply
    662.16x = 913.69 × 367.42
  4. Step 4: Simplify right side
    662.16x = 335,707.98
  5. Step 5: Solve for x
    x = 335,707.98/662.16
  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.