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Finding the Fourth Proportional to 488.45, 674.58 and 396.11

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Solution

The fourth proportional to 488.45, 674.58 and 396.11 is: 547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.45 : 674.58 = 396.11 : x
  2. Step 2: Convert to fraction form
    488.45/674.58 = 396.11/x
  3. Step 3: Cross multiply
    488.45x = 674.58 × 396.11
  4. Step 4: Simplify right side
    488.45x = 267,207.88
  5. Step 5: Solve for x
    x = 267,207.88/488.45
  6. Step 6: Final answer
    x = 547.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.