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Finding the Fourth Proportional to 479.23, 718.94 and 171.09

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Solution

The fourth proportional to 479.23, 718.94 and 171.09 is: 256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.23 : 718.94 = 171.09 : x
  2. Step 2: Convert to fraction form
    479.23/718.94 = 171.09/x
  3. Step 3: Cross multiply
    479.23x = 718.94 × 171.09
  4. Step 4: Simplify right side
    479.23x = 123,003.44
  5. Step 5: Solve for x
    x = 123,003.44/479.23
  6. Step 6: Final answer
    x = 256.67

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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.