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Finding the Fourth Proportional to 490.14, 677.70 and 428.64

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Solution

The fourth proportional to 490.14, 677.70 and 428.64 is: 592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.14 : 677.70 = 428.64 : x
  2. Step 2: Convert to fraction form
    490.14/677.70 = 428.64/x
  3. Step 3: Cross multiply
    490.14x = 677.70 × 428.64
  4. Step 4: Simplify right side
    490.14x = 290,489.33
  5. Step 5: Solve for x
    x = 290,489.33/490.14
  6. Step 6: Final answer
    x = 592.67

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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.