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Finding the Fourth Proportional to 490.98, 677.62 and 316.83

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Solution

The fourth proportional to 490.98, 677.62 and 316.83 is: 437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.98 : 677.62 = 316.83 : x
  2. Step 2: Convert to fraction form
    490.98/677.62 = 316.83/x
  3. Step 3: Cross multiply
    490.98x = 677.62 × 316.83
  4. Step 4: Simplify right side
    490.98x = 214,687.07
  5. Step 5: Solve for x
    x = 214,687.07/490.98
  6. Step 6: Final answer
    x = 437.26

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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.