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Finding the Fourth Proportional to 588.09, 812.79 and 489.63

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Solution

The fourth proportional to 588.09, 812.79 and 489.63 is: 676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.09 : 812.79 = 489.63 : x
  2. Step 2: Convert to fraction form
    588.09/812.79 = 489.63/x
  3. Step 3: Cross multiply
    588.09x = 812.79 × 489.63
  4. Step 4: Simplify right side
    588.09x = 397,966.37
  5. Step 5: Solve for x
    x = 397,966.37/588.09
  6. Step 6: Final answer
    x = 676.71

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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.