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Finding the Fourth Proportional to 536.84, 804.54 and 331.48

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Solution

The fourth proportional to 536.84, 804.54 and 331.48 is: 496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.84 : 804.54 = 331.48 : x
  2. Step 2: Convert to fraction form
    536.84/804.54 = 331.48/x
  3. Step 3: Cross multiply
    536.84x = 804.54 × 331.48
  4. Step 4: Simplify right side
    536.84x = 266,688.92
  5. Step 5: Solve for x
    x = 266,688.92/536.84
  6. Step 6: Final answer
    x = 496.78

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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.