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Finding the Fourth Proportional to 490.90, 673.45 and 477.40

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Solution

The fourth proportional to 490.90, 673.45 and 477.40 is: 654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.90 : 673.45 = 477.40 : x
  2. Step 2: Convert to fraction form
    490.90/673.45 = 477.40/x
  3. Step 3: Cross multiply
    490.90x = 673.45 × 477.40
  4. Step 4: Simplify right side
    490.90x = 321,505.03
  5. Step 5: Solve for x
    x = 321,505.03/490.90
  6. Step 6: Final answer
    x = 654.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.