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Finding the Fourth Proportional to 678.22, 935.94 and 367.72

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Solution

The fourth proportional to 678.22, 935.94 and 367.72 is: 507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.22 : 935.94 = 367.72 : x
  2. Step 2: Convert to fraction form
    678.22/935.94 = 367.72/x
  3. Step 3: Cross multiply
    678.22x = 935.94 × 367.72
  4. Step 4: Simplify right side
    678.22x = 344,163.86
  5. Step 5: Solve for x
    x = 344,163.86/678.22
  6. Step 6: Final answer
    x = 507.45

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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.