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Finding the Fourth Proportional to 408.54, 611.75 and 317.72

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Solution

The fourth proportional to 408.54, 611.75 and 317.72 is: 475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.54 : 611.75 = 317.72 : x
  2. Step 2: Convert to fraction form
    408.54/611.75 = 317.72/x
  3. Step 3: Cross multiply
    408.54x = 611.75 × 317.72
  4. Step 4: Simplify right side
    408.54x = 194,367.53
  5. Step 5: Solve for x
    x = 194,367.53/408.54
  6. Step 6: Final answer
    x = 475.76

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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.