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Finding the Fourth Proportional to 851.37, 1,271.22 and 762.95

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Solution

The fourth proportional to 851.37, 1,271.22 and 762.95 is: 1,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.37 : 1,271.22 = 762.95 : x
  2. Step 2: Convert to fraction form
    851.37/1,271.22 = 762.95/x
  3. Step 3: Cross multiply
    851.37x = 1,271.22 × 762.95
  4. Step 4: Simplify right side
    851.37x = 969,870.94
  5. Step 5: Solve for x
    x = 969,870.94/851.37
  6. Step 6: Final answer
    x = 1,139.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.