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Finding the Fourth Proportional to 650.67, 974.90 and 393.63

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Solution

The fourth proportional to 650.67, 974.90 and 393.63 is: 589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.67 : 974.90 = 393.63 : x
  2. Step 2: Convert to fraction form
    650.67/974.90 = 393.63/x
  3. Step 3: Cross multiply
    650.67x = 974.90 × 393.63
  4. Step 4: Simplify right side
    650.67x = 383,743.04
  5. Step 5: Solve for x
    x = 383,743.04/650.67
  6. Step 6: Final answer
    x = 589.77

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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.