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Finding the Fourth Proportional to 650.19, 974.34 and 324.90

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Solution

The fourth proportional to 650.19, 974.34 and 324.90 is: 486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.19 : 974.34 = 324.90 : x
  2. Step 2: Convert to fraction form
    650.19/974.34 = 324.90/x
  3. Step 3: Cross multiply
    650.19x = 974.34 × 324.90
  4. Step 4: Simplify right side
    650.19x = 316,563.07
  5. Step 5: Solve for x
    x = 316,563.07/650.19
  6. Step 6: Final answer
    x = 486.88

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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.