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Finding the Fourth Proportional to 496.51, 741.91 and 378.73

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Solution

The fourth proportional to 496.51, 741.91 and 378.73 is: 565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.51 : 741.91 = 378.73 : x
  2. Step 2: Convert to fraction form
    496.51/741.91 = 378.73/x
  3. Step 3: Cross multiply
    496.51x = 741.91 × 378.73
  4. Step 4: Simplify right side
    496.51x = 280,982.44
  5. Step 5: Solve for x
    x = 280,982.44/496.51
  6. Step 6: Final answer
    x = 565.92

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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.