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Finding the Fourth Proportional to 794.25, 1,185.80 and 678.74

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Solution

The fourth proportional to 794.25, 1,185.80 and 678.74 is: 1,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.25 : 1,185.80 = 678.74 : x
  2. Step 2: Convert to fraction form
    794.25/1,185.80 = 678.74/x
  3. Step 3: Cross multiply
    794.25x = 1,185.80 × 678.74
  4. Step 4: Simplify right side
    794.25x = 804,840.57
  5. Step 5: Solve for x
    x = 804,840.57/794.25
  6. Step 6: Final answer
    x = 1,013.33

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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.