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Finding the Fourth Proportional to 1,620.46, 2,431.77 and 851.50

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Solution

The fourth proportional to 1,620.46, 2,431.77 and 851.50 is: 1,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.46 : 2,431.77 = 851.50 : x
  2. Step 2: Convert to fraction form
    1,620.46/2,431.77 = 851.50/x
  3. Step 3: Cross multiply
    1,620.46x = 2,431.77 × 851.50
  4. Step 4: Simplify right side
    1,620.46x = 2,070,652.16
  5. Step 5: Solve for x
    x = 2,070,652.16/1,620.46
  6. Step 6: Final answer
    x = 1,277.82

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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.