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Finding the Fourth Proportional to 536.94, 804.96 and 399.69

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Solution

The fourth proportional to 536.94, 804.96 and 399.69 is: 599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.94 : 804.96 = 399.69 : x
  2. Step 2: Convert to fraction form
    536.94/804.96 = 399.69/x
  3. Step 3: Cross multiply
    536.94x = 804.96 × 399.69
  4. Step 4: Simplify right side
    536.94x = 321,734.46
  5. Step 5: Solve for x
    x = 321,734.46/536.94
  6. Step 6: Final answer
    x = 599.20

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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.