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Finding the Fourth Proportional to 480.70, 664.23 and 364.06

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Solution

The fourth proportional to 480.70, 664.23 and 364.06 is: 503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.70 : 664.23 = 364.06 : x
  2. Step 2: Convert to fraction form
    480.70/664.23 = 364.06/x
  3. Step 3: Cross multiply
    480.70x = 664.23 × 364.06
  4. Step 4: Simplify right side
    480.70x = 241,819.57
  5. Step 5: Solve for x
    x = 241,819.57/480.70
  6. Step 6: Final answer
    x = 503.06

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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.