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Finding the Fourth Proportional to 480.57, 720.96 and 285.75

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Solution

The fourth proportional to 480.57, 720.96 and 285.75 is: 428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.57 : 720.96 = 285.75 : x
  2. Step 2: Convert to fraction form
    480.57/720.96 = 285.75/x
  3. Step 3: Cross multiply
    480.57x = 720.96 × 285.75
  4. Step 4: Simplify right side
    480.57x = 206,010.72
  5. Step 5: Solve for x
    x = 206,010.72/480.57
  6. Step 6: Final answer
    x = 428.68

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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.