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Finding the Fourth Proportional to 650.56, 974.21 and 406.34

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Solution

The fourth proportional to 650.56, 974.21 and 406.34 is: 608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.56 : 974.21 = 406.34 : x
  2. Step 2: Convert to fraction form
    650.56/974.21 = 406.34/x
  3. Step 3: Cross multiply
    650.56x = 974.21 × 406.34
  4. Step 4: Simplify right side
    650.56x = 395,860.49
  5. Step 5: Solve for x
    x = 395,860.49/650.56
  6. Step 6: Final answer
    x = 608.50

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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.