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Finding the Fourth Proportional to 452.72, 676.24 and 387.41

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Solution

The fourth proportional to 452.72, 676.24 and 387.41 is: 578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.72 : 676.24 = 387.41 : x
  2. Step 2: Convert to fraction form
    452.72/676.24 = 387.41/x
  3. Step 3: Cross multiply
    452.72x = 676.24 × 387.41
  4. Step 4: Simplify right side
    452.72x = 261,977.79
  5. Step 5: Solve for x
    x = 261,977.79/452.72
  6. Step 6: Final answer
    x = 578.67

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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.