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Finding the Fourth Proportional to 499.44, 742.94 and 494.18

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Solution

The fourth proportional to 499.44, 742.94 and 494.18 is: 735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.44 : 742.94 = 494.18 : x
  2. Step 2: Convert to fraction form
    499.44/742.94 = 494.18/x
  3. Step 3: Cross multiply
    499.44x = 742.94 × 494.18
  4. Step 4: Simplify right side
    499.44x = 367,146.09
  5. Step 5: Solve for x
    x = 367,146.09/499.44
  6. Step 6: Final answer
    x = 735.12

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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.