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Finding the Fourth Proportional to 536.69, 804.14 and 381.87

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Solution

The fourth proportional to 536.69, 804.14 and 381.87 is: 572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.69 : 804.14 = 381.87 : x
  2. Step 2: Convert to fraction form
    536.69/804.14 = 381.87/x
  3. Step 3: Cross multiply
    536.69x = 804.14 × 381.87
  4. Step 4: Simplify right side
    536.69x = 307,076.94
  5. Step 5: Solve for x
    x = 307,076.94/536.69
  6. Step 6: Final answer
    x = 572.17

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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.