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Finding the Fourth Proportional to 627.82, 940.92 and 541.69

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Solution

The fourth proportional to 627.82, 940.92 and 541.69 is: 811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.82 : 940.92 = 541.69 : x
  2. Step 2: Convert to fraction form
    627.82/940.92 = 541.69/x
  3. Step 3: Cross multiply
    627.82x = 940.92 × 541.69
  4. Step 4: Simplify right side
    627.82x = 509,686.95
  5. Step 5: Solve for x
    x = 509,686.95/627.82
  6. Step 6: Final answer
    x = 811.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.