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Finding the Fourth Proportional to 489.34, 674.67 and 427.78

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Solution

The fourth proportional to 489.34, 674.67 and 427.78 is: 589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.34 : 674.67 = 427.78 : x
  2. Step 2: Convert to fraction form
    489.34/674.67 = 427.78/x
  3. Step 3: Cross multiply
    489.34x = 674.67 × 427.78
  4. Step 4: Simplify right side
    489.34x = 288,610.33
  5. Step 5: Solve for x
    x = 288,610.33/489.34
  6. Step 6: Final answer
    x = 589.80

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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.