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Finding the Fourth Proportional to 536.11, 802.92 and 420.28

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Solution

The fourth proportional to 536.11, 802.92 and 420.28 is: 629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.11 : 802.92 = 420.28 : x
  2. Step 2: Convert to fraction form
    536.11/802.92 = 420.28/x
  3. Step 3: Cross multiply
    536.11x = 802.92 × 420.28
  4. Step 4: Simplify right side
    536.11x = 337,451.22
  5. Step 5: Solve for x
    x = 337,451.22/536.11
  6. Step 6: Final answer
    x = 629.44

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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.