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Finding the Fourth Proportional to 540.44, 804.64 and 533.96

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Solution

The fourth proportional to 540.44, 804.64 and 533.96 is: 794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.44 : 804.64 = 533.96 : x
  2. Step 2: Convert to fraction form
    540.44/804.64 = 533.96/x
  3. Step 3: Cross multiply
    540.44x = 804.64 × 533.96
  4. Step 4: Simplify right side
    540.44x = 429,645.57
  5. Step 5: Solve for x
    x = 429,645.57/540.44
  6. Step 6: Final answer
    x = 794.99

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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.