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Finding the Fourth Proportional to 489.50, 673.81 and 423.08

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Solution

The fourth proportional to 489.50, 673.81 and 423.08 is: 582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.50 : 673.81 = 423.08 : x
  2. Step 2: Convert to fraction form
    489.50/673.81 = 423.08/x
  3. Step 3: Cross multiply
    489.50x = 673.81 × 423.08
  4. Step 4: Simplify right side
    489.50x = 285,071.11
  5. Step 5: Solve for x
    x = 285,071.11/489.50
  6. Step 6: Final answer
    x = 582.38

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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.