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Finding the Fourth Proportional to 535.56, 804.42 and 520.44

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Solution

The fourth proportional to 535.56, 804.42 and 520.44 is: 781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.56 : 804.42 = 520.44 : x
  2. Step 2: Convert to fraction form
    535.56/804.42 = 520.44/x
  3. Step 3: Cross multiply
    535.56x = 804.42 × 520.44
  4. Step 4: Simplify right side
    535.56x = 418,652.34
  5. Step 5: Solve for x
    x = 418,652.34/535.56
  6. Step 6: Final answer
    x = 781.71

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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.