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Finding the Fourth Proportional to 650.69, 975.84 and 325.97

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Solution

The fourth proportional to 650.69, 975.84 and 325.97 is: 488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.69 : 975.84 = 325.97 : x
  2. Step 2: Convert to fraction form
    650.69/975.84 = 325.97/x
  3. Step 3: Cross multiply
    650.69x = 975.84 × 325.97
  4. Step 4: Simplify right side
    650.69x = 318,094.56
  5. Step 5: Solve for x
    x = 318,094.56/650.69
  6. Step 6: Final answer
    x = 488.86

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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.