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Finding the Fourth Proportional to 480.85, 720.85 and 172.63

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Solution

The fourth proportional to 480.85, 720.85 and 172.63 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.85 : 720.85 = 172.63 : x
  2. Step 2: Convert to fraction form
    480.85/720.85 = 172.63/x
  3. Step 3: Cross multiply
    480.85x = 720.85 × 172.63
  4. Step 4: Simplify right side
    480.85x = 124,441.49
  5. Step 5: Solve for x
    x = 124,441.49/480.85
  6. Step 6: Final answer
    x = 258.79

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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.