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Finding the Fourth Proportional to 676.63, 1,012.74 and 367.72

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Solution

The fourth proportional to 676.63, 1,012.74 and 367.72 is: 550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.63 : 1,012.74 = 367.72 : x
  2. Step 2: Convert to fraction form
    676.63/1,012.74 = 367.72/x
  3. Step 3: Cross multiply
    676.63x = 1,012.74 × 367.72
  4. Step 4: Simplify right side
    676.63x = 372,400.84
  5. Step 5: Solve for x
    x = 372,400.84/676.63
  6. Step 6: Final answer
    x = 550.37

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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.