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Finding the Fourth Proportional to 494.44, 679.27 and 442.66

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Solution

The fourth proportional to 494.44, 679.27 and 442.66 is: 608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.44 : 679.27 = 442.66 : x
  2. Step 2: Convert to fraction form
    494.44/679.27 = 442.66/x
  3. Step 3: Cross multiply
    494.44x = 679.27 × 442.66
  4. Step 4: Simplify right side
    494.44x = 300,685.66
  5. Step 5: Solve for x
    x = 300,685.66/494.44
  6. Step 6: Final answer
    x = 608.13

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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.