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Finding the Fourth Proportional to 442.88, 613.76 and 396.80

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Solution

The fourth proportional to 442.88, 613.76 and 396.80 is: 549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.88 : 613.76 = 396.80 : x
  2. Step 2: Convert to fraction form
    442.88/613.76 = 396.80/x
  3. Step 3: Cross multiply
    442.88x = 613.76 × 396.80
  4. Step 4: Simplify right side
    442.88x = 243,539.97
  5. Step 5: Solve for x
    x = 243,539.97/442.88
  6. Step 6: Final answer
    x = 549.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.