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Finding the Fourth Proportional to 536.92, 804.76 and 399.62

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Solution

The fourth proportional to 536.92, 804.76 and 399.62 is: 598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.92 : 804.76 = 399.62 : x
  2. Step 2: Convert to fraction form
    536.92/804.76 = 399.62/x
  3. Step 3: Cross multiply
    536.92x = 804.76 × 399.62
  4. Step 4: Simplify right side
    536.92x = 321,599.20
  5. Step 5: Solve for x
    x = 321,599.20/536.92
  6. Step 6: Final answer
    x = 598.97

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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.