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Finding the Fourth Proportional to 682.05, 941.06 and 402.29

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Solution

The fourth proportional to 682.05, 941.06 and 402.29 is: 555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.05 : 941.06 = 402.29 : x
  2. Step 2: Convert to fraction form
    682.05/941.06 = 402.29/x
  3. Step 3: Cross multiply
    682.05x = 941.06 × 402.29
  4. Step 4: Simplify right side
    682.05x = 378,579.03
  5. Step 5: Solve for x
    x = 378,579.03/682.05
  6. Step 6: Final answer
    x = 555.06

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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.