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Finding the Fourth Proportional to 490.89, 677.29 and 316.33

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Solution

The fourth proportional to 490.89, 677.29 and 316.33 is: 436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.89 : 677.29 = 316.33 : x
  2. Step 2: Convert to fraction form
    490.89/677.29 = 316.33/x
  3. Step 3: Cross multiply
    490.89x = 677.29 × 316.33
  4. Step 4: Simplify right side
    490.89x = 214,247.20
  5. Step 5: Solve for x
    x = 214,247.20/490.89
  6. Step 6: Final answer
    x = 436.45

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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.