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Finding the Fourth Proportional to 681.83, 941.05 and 402.05

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Solution

The fourth proportional to 681.83, 941.05 and 402.05 is: 554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.83 : 941.05 = 402.05 : x
  2. Step 2: Convert to fraction form
    681.83/941.05 = 402.05/x
  3. Step 3: Cross multiply
    681.83x = 941.05 × 402.05
  4. Step 4: Simplify right side
    681.83x = 378,352.74
  5. Step 5: Solve for x
    x = 378,352.74/681.83
  6. Step 6: Final answer
    x = 554.90

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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.