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Finding the Fourth Proportional to 489.51, 674.46 and 459.27

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Solution

The fourth proportional to 489.51, 674.46 and 459.27 is: 632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.51 : 674.46 = 459.27 : x
  2. Step 2: Convert to fraction form
    489.51/674.46 = 459.27/x
  3. Step 3: Cross multiply
    489.51x = 674.46 × 459.27
  4. Step 4: Simplify right side
    489.51x = 309,759.24
  5. Step 5: Solve for x
    x = 309,759.24/489.51
  6. Step 6: Final answer
    x = 632.79

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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.