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Finding the Fourth Proportional to 489.37, 674.79 and 384.27

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Solution

The fourth proportional to 489.37, 674.79 and 384.27 is: 529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.37 : 674.79 = 384.27 : x
  2. Step 2: Convert to fraction form
    489.37/674.79 = 384.27/x
  3. Step 3: Cross multiply
    489.37x = 674.79 × 384.27
  4. Step 4: Simplify right side
    489.37x = 259,301.55
  5. Step 5: Solve for x
    x = 259,301.55/489.37
  6. Step 6: Final answer
    x = 529.87

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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.