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Finding the Fourth Proportional to 536.08, 804.12 and 427.72

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Solution

The fourth proportional to 536.08, 804.12 and 427.72 is: 641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.08 : 804.12 = 427.72 : x
  2. Step 2: Convert to fraction form
    536.08/804.12 = 427.72/x
  3. Step 3: Cross multiply
    536.08x = 804.12 × 427.72
  4. Step 4: Simplify right side
    536.08x = 343,938.21
  5. Step 5: Solve for x
    x = 343,938.21/536.08
  6. Step 6: Final answer
    x = 641.58

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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.