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Finding the Fourth Proportional to 782.89, 1,174.74 and 344.45

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Solution

The fourth proportional to 782.89, 1,174.74 and 344.45 is: 516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.89 : 1,174.74 = 344.45 : x
  2. Step 2: Convert to fraction form
    782.89/1,174.74 = 344.45/x
  3. Step 3: Cross multiply
    782.89x = 1,174.74 × 344.45
  4. Step 4: Simplify right side
    782.89x = 404,635.40
  5. Step 5: Solve for x
    x = 404,635.40/782.89
  6. Step 6: Final answer
    x = 516.85

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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.