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Finding the Fourth Proportional to 494.73, 679.08 and 438.24

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Solution

The fourth proportional to 494.73, 679.08 and 438.24 is: 601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.73 : 679.08 = 438.24 : x
  2. Step 2: Convert to fraction form
    494.73/679.08 = 438.24/x
  3. Step 3: Cross multiply
    494.73x = 679.08 × 438.24
  4. Step 4: Simplify right side
    494.73x = 297,600.02
  5. Step 5: Solve for x
    x = 297,600.02/494.73
  6. Step 6: Final answer
    x = 601.54

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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.