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Finding the Fourth Proportional to 483.45, 671.78 and 478.43

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Solution

The fourth proportional to 483.45, 671.78 and 478.43 is: 664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.45 : 671.78 = 478.43 : x
  2. Step 2: Convert to fraction form
    483.45/671.78 = 478.43/x
  3. Step 3: Cross multiply
    483.45x = 671.78 × 478.43
  4. Step 4: Simplify right side
    483.45x = 321,393.95
  5. Step 5: Solve for x
    x = 321,393.95/483.45
  6. Step 6: Final answer
    x = 664.80

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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.