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Finding the Fourth Proportional to 536.64, 804.24 and 398.58

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Solution

The fourth proportional to 536.64, 804.24 and 398.58 is: 597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.64 : 804.24 = 398.58 : x
  2. Step 2: Convert to fraction form
    536.64/804.24 = 398.58/x
  3. Step 3: Cross multiply
    536.64x = 804.24 × 398.58
  4. Step 4: Simplify right side
    536.64x = 320,553.98
  5. Step 5: Solve for x
    x = 320,553.98/536.64
  6. Step 6: Final answer
    x = 597.34

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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.