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Finding the Fourth Proportional to 782.97, 1,175.09 and 552.31

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Solution

The fourth proportional to 782.97, 1,175.09 and 552.31 is: 828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.97 : 1,175.09 = 552.31 : x
  2. Step 2: Convert to fraction form
    782.97/1,175.09 = 552.31/x
  3. Step 3: Cross multiply
    782.97x = 1,175.09 × 552.31
  4. Step 4: Simplify right side
    782.97x = 649,013.96
  5. Step 5: Solve for x
    x = 649,013.96/782.97
  6. Step 6: Final answer
    x = 828.91

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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.