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Finding the Fourth Proportional to 536.34, 804.87 and 262.62

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Solution

The fourth proportional to 536.34, 804.87 and 262.62 is: 394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.34 : 804.87 = 262.62 : x
  2. Step 2: Convert to fraction form
    536.34/804.87 = 262.62/x
  3. Step 3: Cross multiply
    536.34x = 804.87 × 262.62
  4. Step 4: Simplify right side
    536.34x = 211,374.96
  5. Step 5: Solve for x
    x = 211,374.96/536.34
  6. Step 6: Final answer
    x = 394.11

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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.