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Finding the Fourth Proportional to 480.72, 720.33 and 285.33

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Solution

The fourth proportional to 480.72, 720.33 and 285.33 is: 427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.72 : 720.33 = 285.33 : x
  2. Step 2: Convert to fraction form
    480.72/720.33 = 285.33/x
  3. Step 3: Cross multiply
    480.72x = 720.33 × 285.33
  4. Step 4: Simplify right side
    480.72x = 205,531.76
  5. Step 5: Solve for x
    x = 205,531.76/480.72
  6. Step 6: Final answer
    x = 427.55

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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.