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Finding the Fourth Proportional to 453.67, 676.57 and 395.35

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Solution

The fourth proportional to 453.67, 676.57 and 395.35 is: 589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.67 : 676.57 = 395.35 : x
  2. Step 2: Convert to fraction form
    453.67/676.57 = 395.35/x
  3. Step 3: Cross multiply
    453.67x = 676.57 × 395.35
  4. Step 4: Simplify right side
    453.67x = 267,481.95
  5. Step 5: Solve for x
    x = 267,481.95/453.67
  6. Step 6: Final answer
    x = 589.60

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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.