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Finding the Fourth Proportional to 785.70, 1,179.16 and 677.97

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Solution

The fourth proportional to 785.70, 1,179.16 and 677.97 is: 1,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.70 : 1,179.16 = 677.97 : x
  2. Step 2: Convert to fraction form
    785.70/1,179.16 = 677.97/x
  3. Step 3: Cross multiply
    785.70x = 1,179.16 × 677.97
  4. Step 4: Simplify right side
    785.70x = 799,433.41
  5. Step 5: Solve for x
    x = 799,433.41/785.70
  6. Step 6: Final answer
    x = 1,017.48

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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.