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Finding the Fourth Proportional to 682.68, 942.10 and 402.82

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Solution

The fourth proportional to 682.68, 942.10 and 402.82 is: 555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.68 : 942.10 = 402.82 : x
  2. Step 2: Convert to fraction form
    682.68/942.10 = 402.82/x
  3. Step 3: Cross multiply
    682.68x = 942.10 × 402.82
  4. Step 4: Simplify right side
    682.68x = 379,496.72
  5. Step 5: Solve for x
    x = 379,496.72/682.68
  6. Step 6: Final answer
    x = 555.89

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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.