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Finding the Fourth Proportional to 676.40, 1,013.74 and 367.49

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Solution

The fourth proportional to 676.40, 1,013.74 and 367.49 is: 550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.40 : 1,013.74 = 367.49 : x
  2. Step 2: Convert to fraction form
    676.40/1,013.74 = 367.49/x
  3. Step 3: Cross multiply
    676.40x = 1,013.74 × 367.49
  4. Step 4: Simplify right side
    676.40x = 372,540.93
  5. Step 5: Solve for x
    x = 372,540.93/676.40
  6. Step 6: Final answer
    x = 550.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.