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Finding the Fourth Proportional to 408, 610.58 and 334.02

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Solution

The fourth proportional to 408, 610.58 and 334.02 is: 499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 610.58 = 334.02 : x
  2. Step 2: Convert to fraction form
    408/610.58 = 334.02/x
  3. Step 3: Cross multiply
    408x = 610.58 × 334.02
  4. Step 4: Simplify right side
    408x = 203,945.93
  5. Step 5: Solve for x
    x = 203,945.93/408
  6. Step 6: Final answer
    x = 499.87

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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.