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Finding the Fourth Proportional to 479.81, 719.50 and 171.67

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Solution

The fourth proportional to 479.81, 719.50 and 171.67 is: 257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.81 : 719.50 = 171.67 : x
  2. Step 2: Convert to fraction form
    479.81/719.50 = 171.67/x
  3. Step 3: Cross multiply
    479.81x = 719.50 × 171.67
  4. Step 4: Simplify right side
    479.81x = 123,516.57
  5. Step 5: Solve for x
    x = 123,516.57/479.81
  6. Step 6: Final answer
    x = 257.43

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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.