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Finding the Fourth Proportional to 650.09, 974.03 and 283.97

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Solution

The fourth proportional to 650.09, 974.03 and 283.97 is: 425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.09 : 974.03 = 283.97 : x
  2. Step 2: Convert to fraction form
    650.09/974.03 = 283.97/x
  3. Step 3: Cross multiply
    650.09x = 974.03 × 283.97
  4. Step 4: Simplify right side
    650.09x = 276,596.31
  5. Step 5: Solve for x
    x = 276,596.31/650.09
  6. Step 6: Final answer
    x = 425.47

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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.