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Finding the Fourth Proportional to 489.21, 674.61 and 349.35

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Solution

The fourth proportional to 489.21, 674.61 and 349.35 is: 481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.21 : 674.61 = 349.35 : x
  2. Step 2: Convert to fraction form
    489.21/674.61 = 349.35/x
  3. Step 3: Cross multiply
    489.21x = 674.61 × 349.35
  4. Step 4: Simplify right side
    489.21x = 235,675.00
  5. Step 5: Solve for x
    x = 235,675.00/489.21
  6. Step 6: Final answer
    x = 481.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.