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Finding the Fourth Proportional to 489.69, 675.59 and 300.57

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Solution

The fourth proportional to 489.69, 675.59 and 300.57 is: 414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.69 : 675.59 = 300.57 : x
  2. Step 2: Convert to fraction form
    489.69/675.59 = 300.57/x
  3. Step 3: Cross multiply
    489.69x = 675.59 × 300.57
  4. Step 4: Simplify right side
    489.69x = 203,059.46
  5. Step 5: Solve for x
    x = 203,059.46/489.69
  6. Step 6: Final answer
    x = 414.67

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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.