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Finding the Fourth Proportional to 481.84, 723 and 391.60

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Solution

The fourth proportional to 481.84, 723 and 391.60 is: 587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.84 : 723 = 391.60 : x
  2. Step 2: Convert to fraction form
    481.84/723 = 391.60/x
  3. Step 3: Cross multiply
    481.84x = 723 × 391.60
  4. Step 4: Simplify right side
    481.84x = 283,126.80
  5. Step 5: Solve for x
    x = 283,126.80/481.84
  6. Step 6: Final answer
    x = 587.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.