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Finding the Fourth Proportional to 478.26, 659.76 and 379.80

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Solution

The fourth proportional to 478.26, 659.76 and 379.80 is: 523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.26 : 659.76 = 379.80 : x
  2. Step 2: Convert to fraction form
    478.26/659.76 = 379.80/x
  3. Step 3: Cross multiply
    478.26x = 659.76 × 379.80
  4. Step 4: Simplify right side
    478.26x = 250,576.85
  5. Step 5: Solve for x
    x = 250,576.85/478.26
  6. Step 6: Final answer
    x = 523.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.