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Finding the Fourth Proportional to 661.78, 913.27 and 367.07

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Solution

The fourth proportional to 661.78, 913.27 and 367.07 is: 506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.78 : 913.27 = 367.07 : x
  2. Step 2: Convert to fraction form
    661.78/913.27 = 367.07/x
  3. Step 3: Cross multiply
    661.78x = 913.27 × 367.07
  4. Step 4: Simplify right side
    661.78x = 335,234.02
  5. Step 5: Solve for x
    x = 335,234.02/661.78
  6. Step 6: Final answer
    x = 506.56

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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.