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Finding the Fourth Proportional to 782.41, 1,173.46 and 343.87

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Solution

The fourth proportional to 782.41, 1,173.46 and 343.87 is: 515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.41 : 1,173.46 = 343.87 : x
  2. Step 2: Convert to fraction form
    782.41/1,173.46 = 343.87/x
  3. Step 3: Cross multiply
    782.41x = 1,173.46 × 343.87
  4. Step 4: Simplify right side
    782.41x = 403,513.90
  5. Step 5: Solve for x
    x = 403,513.90/782.41
  6. Step 6: Final answer
    x = 515.73

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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.