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Finding the Fourth Proportional to 480.23, 659.84 and 381.81

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Solution

The fourth proportional to 480.23, 659.84 and 381.81 is: 524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.23 : 659.84 = 381.81 : x
  2. Step 2: Convert to fraction form
    480.23/659.84 = 381.81/x
  3. Step 3: Cross multiply
    480.23x = 659.84 × 381.81
  4. Step 4: Simplify right side
    480.23x = 251,936.94
  5. Step 5: Solve for x
    x = 251,936.94/480.23
  6. Step 6: Final answer
    x = 524.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.