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Finding the Fourth Proportional to 650.75, 976.43 and 285.48

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Solution

The fourth proportional to 650.75, 976.43 and 285.48 is: 428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.75 : 976.43 = 285.48 : x
  2. Step 2: Convert to fraction form
    650.75/976.43 = 285.48/x
  3. Step 3: Cross multiply
    650.75x = 976.43 × 285.48
  4. Step 4: Simplify right side
    650.75x = 278,751.95
  5. Step 5: Solve for x
    x = 278,751.95/650.75
  6. Step 6: Final answer
    x = 428.36

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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.