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Finding the Fourth Proportional to 494.68, 678.68 and 481.90

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Solution

The fourth proportional to 494.68, 678.68 and 481.90 is: 661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.68 : 678.68 = 481.90 : x
  2. Step 2: Convert to fraction form
    494.68/678.68 = 481.90/x
  3. Step 3: Cross multiply
    494.68x = 678.68 × 481.90
  4. Step 4: Simplify right side
    494.68x = 327,055.89
  5. Step 5: Solve for x
    x = 327,055.89/494.68
  6. Step 6: Final answer
    x = 661.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.