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Finding the Fourth Proportional to 650.12, 974.14 and 519.44

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Solution

The fourth proportional to 650.12, 974.14 and 519.44 is: 778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.12 : 974.14 = 519.44 : x
  2. Step 2: Convert to fraction form
    650.12/974.14 = 519.44/x
  3. Step 3: Cross multiply
    650.12x = 974.14 × 519.44
  4. Step 4: Simplify right side
    650.12x = 506,004.68
  5. Step 5: Solve for x
    x = 506,004.68/650.12
  6. Step 6: Final answer
    x = 778.33

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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.