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Finding the Fourth Proportional to 478.74, 660.54 and 321.60

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Solution

The fourth proportional to 478.74, 660.54 and 321.60 is: 443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.74 : 660.54 = 321.60 : x
  2. Step 2: Convert to fraction form
    478.74/660.54 = 321.60/x
  3. Step 3: Cross multiply
    478.74x = 660.54 × 321.60
  4. Step 4: Simplify right side
    478.74x = 212,429.66
  5. Step 5: Solve for x
    x = 212,429.66/478.74
  6. Step 6: Final answer
    x = 443.73

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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.