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Finding the Fourth Proportional to 490.24, 728.90 and 485.36

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Solution

The fourth proportional to 490.24, 728.90 and 485.36 is: 721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.24 : 728.90 = 485.36 : x
  2. Step 2: Convert to fraction form
    490.24/728.90 = 485.36/x
  3. Step 3: Cross multiply
    490.24x = 728.90 × 485.36
  4. Step 4: Simplify right side
    490.24x = 353,778.90
  5. Step 5: Solve for x
    x = 353,778.90/490.24
  6. Step 6: Final answer
    x = 721.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.