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Finding the Fourth Proportional to 782.69, 1,174.10 and 205.56

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Solution

The fourth proportional to 782.69, 1,174.10 and 205.56 is: 308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.69 : 1,174.10 = 205.56 : x
  2. Step 2: Convert to fraction form
    782.69/1,174.10 = 205.56/x
  3. Step 3: Cross multiply
    782.69x = 1,174.10 × 205.56
  4. Step 4: Simplify right side
    782.69x = 241,348.00
  5. Step 5: Solve for x
    x = 241,348.00/782.69
  6. Step 6: Final answer
    x = 308.36

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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.