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Finding the Fourth Proportional to 452.87, 676.44 and 361.31

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Solution

The fourth proportional to 452.87, 676.44 and 361.31 is: 539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.87 : 676.44 = 361.31 : x
  2. Step 2: Convert to fraction form
    452.87/676.44 = 361.31/x
  3. Step 3: Cross multiply
    452.87x = 676.44 × 361.31
  4. Step 4: Simplify right side
    452.87x = 244,401.15
  5. Step 5: Solve for x
    x = 244,401.15/452.87
  6. Step 6: Final answer
    x = 539.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.