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Finding the Fourth Proportional to 481.71, 722.63 and 173.48

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Solution

The fourth proportional to 481.71, 722.63 and 173.48 is: 260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.71 : 722.63 = 173.48 : x
  2. Step 2: Convert to fraction form
    481.71/722.63 = 173.48/x
  3. Step 3: Cross multiply
    481.71x = 722.63 × 173.48
  4. Step 4: Simplify right side
    481.71x = 125,362.79
  5. Step 5: Solve for x
    x = 125,362.79/481.71
  6. Step 6: Final answer
    x = 260.25

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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.