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Finding the Fourth Proportional to 486.27, 728.69 and 280.89

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Solution

The fourth proportional to 486.27, 728.69 and 280.89 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.27 : 728.69 = 280.89 : x
  2. Step 2: Convert to fraction form
    486.27/728.69 = 280.89/x
  3. Step 3: Cross multiply
    486.27x = 728.69 × 280.89
  4. Step 4: Simplify right side
    486.27x = 204,681.73
  5. Step 5: Solve for x
    x = 204,681.73/486.27
  6. Step 6: Final answer
    x = 420.92

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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.