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Finding the Fourth Proportional to 496.51, 742.53 and 379.41

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Solution

The fourth proportional to 496.51, 742.53 and 379.41 is: 567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.51 : 742.53 = 379.41 : x
  2. Step 2: Convert to fraction form
    496.51/742.53 = 379.41/x
  3. Step 3: Cross multiply
    496.51x = 742.53 × 379.41
  4. Step 4: Simplify right side
    496.51x = 281,724.22
  5. Step 5: Solve for x
    x = 281,724.22/496.51
  6. Step 6: Final answer
    x = 567.41

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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.