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Finding the Fourth Proportional to 650.09, 974.61 and 320.88

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Solution

The fourth proportional to 650.09, 974.61 and 320.88 is: 481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.09 : 974.61 = 320.88 : x
  2. Step 2: Convert to fraction form
    650.09/974.61 = 320.88/x
  3. Step 3: Cross multiply
    650.09x = 974.61 × 320.88
  4. Step 4: Simplify right side
    650.09x = 312,732.86
  5. Step 5: Solve for x
    x = 312,732.86/650.09
  6. Step 6: Final answer
    x = 481.06

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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.