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Finding the Fourth Proportional to 536.38, 802.94 and 518.56

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Solution

The fourth proportional to 536.38, 802.94 and 518.56 is: 776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.38 : 802.94 = 518.56 : x
  2. Step 2: Convert to fraction form
    536.38/802.94 = 518.56/x
  3. Step 3: Cross multiply
    536.38x = 802.94 × 518.56
  4. Step 4: Simplify right side
    536.38x = 416,372.57
  5. Step 5: Solve for x
    x = 416,372.57/536.38
  6. Step 6: Final answer
    x = 776.26

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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.