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Finding the Fourth Proportional to 587.79, 809.78 and 489.37

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Solution

The fourth proportional to 587.79, 809.78 and 489.37 is: 674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.79 : 809.78 = 489.37 : x
  2. Step 2: Convert to fraction form
    587.79/809.78 = 489.37/x
  3. Step 3: Cross multiply
    587.79x = 809.78 × 489.37
  4. Step 4: Simplify right side
    587.79x = 396,282.04
  5. Step 5: Solve for x
    x = 396,282.04/587.79
  6. Step 6: Final answer
    x = 674.20

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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.