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Finding the Fourth Proportional to 650.79, 974.75 and 406.62

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Solution

The fourth proportional to 650.79, 974.75 and 406.62 is: 609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.79 : 974.75 = 406.62 : x
  2. Step 2: Convert to fraction form
    650.79/974.75 = 406.62/x
  3. Step 3: Cross multiply
    650.79x = 974.75 × 406.62
  4. Step 4: Simplify right side
    650.79x = 396,350.81
  5. Step 5: Solve for x
    x = 396,350.81/650.79
  6. Step 6: Final answer
    x = 609.03

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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.