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Finding the Fourth Proportional to 490.15, 730.46 and 475.34

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Solution

The fourth proportional to 490.15, 730.46 and 475.34 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.15 : 730.46 = 475.34 : x
  2. Step 2: Convert to fraction form
    490.15/730.46 = 475.34/x
  3. Step 3: Cross multiply
    490.15x = 730.46 × 475.34
  4. Step 4: Simplify right side
    490.15x = 347,214.39
  5. Step 5: Solve for x
    x = 347,214.39/490.15
  6. Step 6: Final answer
    x = 708.38

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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.