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Finding the Fourth Proportional to 538.88, 804.97 and 490.28

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Solution

The fourth proportional to 538.88, 804.97 and 490.28 is: 732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.88 : 804.97 = 490.28 : x
  2. Step 2: Convert to fraction form
    538.88/804.97 = 490.28/x
  3. Step 3: Cross multiply
    538.88x = 804.97 × 490.28
  4. Step 4: Simplify right side
    538.88x = 394,660.69
  5. Step 5: Solve for x
    x = 394,660.69/538.88
  6. Step 6: Final answer
    x = 732.37

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1.5x scale

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.