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Finding the Fourth Proportional to 481.51, 723.08 and 477.73

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Solution

The fourth proportional to 481.51, 723.08 and 477.73 is: 717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.51 : 723.08 = 477.73 : x
  2. Step 2: Convert to fraction form
    481.51/723.08 = 477.73/x
  3. Step 3: Cross multiply
    481.51x = 723.08 × 477.73
  4. Step 4: Simplify right side
    481.51x = 345,437.01
  5. Step 5: Solve for x
    x = 345,437.01/481.51
  6. Step 6: Final answer
    x = 717.40

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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.