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Finding the Fourth Proportional to 851.73, 1,277.57 and 518.25

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Solution

The fourth proportional to 851.73, 1,277.57 and 518.25 is: 777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.73 : 1,277.57 = 518.25 : x
  2. Step 2: Convert to fraction form
    851.73/1,277.57 = 518.25/x
  3. Step 3: Cross multiply
    851.73x = 1,277.57 × 518.25
  4. Step 4: Simplify right side
    851.73x = 662,098.06
  5. Step 5: Solve for x
    x = 662,098.06/851.73
  6. Step 6: Final answer
    x = 777.36

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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.