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Finding the Fourth Proportional to 538.70, 807.43 and 441.37

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Solution

The fourth proportional to 538.70, 807.43 and 441.37 is: 661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.70 : 807.43 = 441.37 : x
  2. Step 2: Convert to fraction form
    538.70/807.43 = 441.37/x
  3. Step 3: Cross multiply
    538.70x = 807.43 × 441.37
  4. Step 4: Simplify right side
    538.70x = 356,375.38
  5. Step 5: Solve for x
    x = 356,375.38/538.70
  6. Step 6: Final answer
    x = 661.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.