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Finding the Fourth Proportional to 681.87, 941.20 and 402.10

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Solution

The fourth proportional to 681.87, 941.20 and 402.10 is: 555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.87 : 941.20 = 402.10 : x
  2. Step 2: Convert to fraction form
    681.87/941.20 = 402.10/x
  3. Step 3: Cross multiply
    681.87x = 941.20 × 402.10
  4. Step 4: Simplify right side
    681.87x = 378,456.52
  5. Step 5: Solve for x
    x = 378,456.52/681.87
  6. Step 6: Final answer
    x = 555.03

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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.