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Finding the Fourth Proportional to 782.94, 1,175.85 and 685.74

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Solution

The fourth proportional to 782.94, 1,175.85 and 685.74 is: 1,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.94 : 1,175.85 = 685.74 : x
  2. Step 2: Convert to fraction form
    782.94/1,175.85 = 685.74/x
  3. Step 3: Cross multiply
    782.94x = 1,175.85 × 685.74
  4. Step 4: Simplify right side
    782.94x = 806,327.38
  5. Step 5: Solve for x
    x = 806,327.38/782.94
  6. Step 6: Final answer
    x = 1,029.87

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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.