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Finding the Fourth Proportional to 682.03, 941.19 and 402.28

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Solution

The fourth proportional to 682.03, 941.19 and 402.28 is: 555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 941.19 = 402.28 : x
  2. Step 2: Convert to fraction form
    682.03/941.19 = 402.28/x
  3. Step 3: Cross multiply
    682.03x = 941.19 × 402.28
  4. Step 4: Simplify right side
    682.03x = 378,619.56
  5. Step 5: Solve for x
    x = 378,619.56/682.03
  6. Step 6: Final answer
    x = 555.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.