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Finding the Fourth Proportional to 485.69, 727.70 and 321.06

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Solution

The fourth proportional to 485.69, 727.70 and 321.06 is: 481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.69 : 727.70 = 321.06 : x
  2. Step 2: Convert to fraction form
    485.69/727.70 = 321.06/x
  3. Step 3: Cross multiply
    485.69x = 727.70 × 321.06
  4. Step 4: Simplify right side
    485.69x = 233,635.36
  5. Step 5: Solve for x
    x = 233,635.36/485.69
  6. Step 6: Final answer
    x = 481.04

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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.