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Finding the Fourth Proportional to 480.23, 662.59 and 305.59

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Solution

The fourth proportional to 480.23, 662.59 and 305.59 is: 421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.23 : 662.59 = 305.59 : x
  2. Step 2: Convert to fraction form
    480.23/662.59 = 305.59/x
  3. Step 3: Cross multiply
    480.23x = 662.59 × 305.59
  4. Step 4: Simplify right side
    480.23x = 202,480.88
  5. Step 5: Solve for x
    x = 202,480.88/480.23
  6. Step 6: Final answer
    x = 421.63

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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.