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Finding the Fourth Proportional to 682.42, 941.72 and 402.66

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Solution

The fourth proportional to 682.42, 941.72 and 402.66 is: 555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.42 : 941.72 = 402.66 : x
  2. Step 2: Convert to fraction form
    682.42/941.72 = 402.66/x
  3. Step 3: Cross multiply
    682.42x = 941.72 × 402.66
  4. Step 4: Simplify right side
    682.42x = 379,192.98
  5. Step 5: Solve for x
    x = 379,192.98/682.42
  6. Step 6: Final answer
    x = 555.66

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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.