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Finding the Fourth Proportional to 480.44, 663.65 and 376.83

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Solution

The fourth proportional to 480.44, 663.65 and 376.83 is: 520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.44 : 663.65 = 376.83 : x
  2. Step 2: Convert to fraction form
    480.44/663.65 = 376.83/x
  3. Step 3: Cross multiply
    480.44x = 663.65 × 376.83
  4. Step 4: Simplify right side
    480.44x = 250,083.23
  5. Step 5: Solve for x
    x = 250,083.23/480.44
  6. Step 6: Final answer
    x = 520.53

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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.