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Finding the Fourth Proportional to 489.51, 674.84 and 331.90

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Solution

The fourth proportional to 489.51, 674.84 and 331.90 is: 457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.51 : 674.84 = 331.90 : x
  2. Step 2: Convert to fraction form
    489.51/674.84 = 331.90/x
  3. Step 3: Cross multiply
    489.51x = 674.84 × 331.90
  4. Step 4: Simplify right side
    489.51x = 223,979.01
  5. Step 5: Solve for x
    x = 223,979.01/489.51
  6. Step 6: Final answer
    x = 457.56

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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.