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Finding the Fourth Proportional to 682.19, 941.57 and 402.42

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Solution

The fourth proportional to 682.19, 941.57 and 402.42 is: 555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.19 : 941.57 = 402.42 : x
  2. Step 2: Convert to fraction form
    682.19/941.57 = 402.42/x
  3. Step 3: Cross multiply
    682.19x = 941.57 × 402.42
  4. Step 4: Simplify right side
    682.19x = 378,904.59
  5. Step 5: Solve for x
    x = 378,904.59/682.19
  6. Step 6: Final answer
    x = 555.43

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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.