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Finding the Fourth Proportional to 682.13, 941.30 and 402.37

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Solution

The fourth proportional to 682.13, 941.30 and 402.37 is: 555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.13 : 941.30 = 402.37 : x
  2. Step 2: Convert to fraction form
    682.13/941.30 = 402.37/x
  3. Step 3: Cross multiply
    682.13x = 941.30 × 402.37
  4. Step 4: Simplify right side
    682.13x = 378,750.88
  5. Step 5: Solve for x
    x = 378,750.88/682.13
  6. Step 6: Final answer
    x = 555.25

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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.