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Finding the Fourth Proportional to 650.97, 975.74 and 308.25

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Solution

The fourth proportional to 650.97, 975.74 and 308.25 is: 462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.97 : 975.74 = 308.25 : x
  2. Step 2: Convert to fraction form
    650.97/975.74 = 308.25/x
  3. Step 3: Cross multiply
    650.97x = 975.74 × 308.25
  4. Step 4: Simplify right side
    650.97x = 300,770.31
  5. Step 5: Solve for x
    x = 300,770.31/650.97
  6. Step 6: Final answer
    x = 462.03

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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.