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Finding the Fourth Proportional to 481.54, 719.07 and 478.66

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Solution

The fourth proportional to 481.54, 719.07 and 478.66 is: 714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.54 : 719.07 = 478.66 : x
  2. Step 2: Convert to fraction form
    481.54/719.07 = 478.66/x
  3. Step 3: Cross multiply
    481.54x = 719.07 × 478.66
  4. Step 4: Simplify right side
    481.54x = 344,187.65
  5. Step 5: Solve for x
    x = 344,187.65/481.54
  6. Step 6: Final answer
    x = 714.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.