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Finding the Fourth Proportional to 851, 1,275.28 and 618.88

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Solution

The fourth proportional to 851, 1,275.28 and 618.88 is: 927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    851 : 1,275.28 = 618.88 : x
  2. Step 2: Convert to fraction form
    851/1,275.28 = 618.88/x
  3. Step 3: Cross multiply
    851x = 1,275.28 × 618.88
  4. Step 4: Simplify right side
    851x = 789,245.29
  5. Step 5: Solve for x
    x = 789,245.29/851
  6. Step 6: Final answer
    x = 927.43

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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.