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Finding the Fourth Proportional to 452.89, 676.05 and 398.22

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Solution

The fourth proportional to 452.89, 676.05 and 398.22 is: 594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.89 : 676.05 = 398.22 : x
  2. Step 2: Convert to fraction form
    452.89/676.05 = 398.22/x
  3. Step 3: Cross multiply
    452.89x = 676.05 × 398.22
  4. Step 4: Simplify right side
    452.89x = 269,216.63
  5. Step 5: Solve for x
    x = 269,216.63/452.89
  6. Step 6: Final answer
    x = 594.44

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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.