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Finding the Fourth Proportional to 480.32, 667.44 and 475.31

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Solution

The fourth proportional to 480.32, 667.44 and 475.31 is: 660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 667.44 = 475.31 : x
  2. Step 2: Convert to fraction form
    480.32/667.44 = 475.31/x
  3. Step 3: Cross multiply
    480.32x = 667.44 × 475.31
  4. Step 4: Simplify right side
    480.32x = 317,240.91
  5. Step 5: Solve for x
    x = 317,240.91/480.32
  6. Step 6: Final answer
    x = 660.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.