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Finding the Fourth Proportional to 480.50, 662.28 and 397.34

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Solution

The fourth proportional to 480.50, 662.28 and 397.34 is: 547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.50 : 662.28 = 397.34 : x
  2. Step 2: Convert to fraction form
    480.50/662.28 = 397.34/x
  3. Step 3: Cross multiply
    480.50x = 662.28 × 397.34
  4. Step 4: Simplify right side
    480.50x = 263,150.34
  5. Step 5: Solve for x
    x = 263,150.34/480.50
  6. Step 6: Final answer
    x = 547.66

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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.