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Finding the Fourth Proportional to 785.92, 1,178.82 and 681.43

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Solution

The fourth proportional to 785.92, 1,178.82 and 681.43 is: 1,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.92 : 1,178.82 = 681.43 : x
  2. Step 2: Convert to fraction form
    785.92/1,178.82 = 681.43/x
  3. Step 3: Cross multiply
    785.92x = 1,178.82 × 681.43
  4. Step 4: Simplify right side
    785.92x = 803,280.37
  5. Step 5: Solve for x
    x = 803,280.37/785.92
  6. Step 6: Final answer
    x = 1,022.09

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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.