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Finding the Fourth Proportional to 538.44, 809.46 and 416.76

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Solution

The fourth proportional to 538.44, 809.46 and 416.76 is: 626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.44 : 809.46 = 416.76 : x
  2. Step 2: Convert to fraction form
    538.44/809.46 = 416.76/x
  3. Step 3: Cross multiply
    538.44x = 809.46 × 416.76
  4. Step 4: Simplify right side
    538.44x = 337,350.55
  5. Step 5: Solve for x
    x = 337,350.55/538.44
  6. Step 6: Final answer
    x = 626.53

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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.