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Finding the Fourth Proportional to 536.19, 804.33 and 388.62

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Solution

The fourth proportional to 536.19, 804.33 and 388.62 is: 582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.19 : 804.33 = 388.62 : x
  2. Step 2: Convert to fraction form
    536.19/804.33 = 388.62/x
  3. Step 3: Cross multiply
    536.19x = 804.33 × 388.62
  4. Step 4: Simplify right side
    536.19x = 312,578.72
  5. Step 5: Solve for x
    x = 312,578.72/536.19
  6. Step 6: Final answer
    x = 582.96

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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.