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Finding the Fourth Proportional to 826.12, 1,139.56 and 511.44

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Solution

The fourth proportional to 826.12, 1,139.56 and 511.44 is: 705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.12 : 1,139.56 = 511.44 : x
  2. Step 2: Convert to fraction form
    826.12/1,139.56 = 511.44/x
  3. Step 3: Cross multiply
    826.12x = 1,139.56 × 511.44
  4. Step 4: Simplify right side
    826.12x = 582,816.57
  5. Step 5: Solve for x
    x = 582,816.57/826.12
  6. Step 6: Final answer
    x = 705.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.