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Finding the Fourth Proportional to 826.14, 1,146.26 and 819.07

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Solution

The fourth proportional to 826.14, 1,146.26 and 819.07 is: 1,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,146.26 = 819.07 : x
  2. Step 2: Convert to fraction form
    826.14/1,146.26 = 819.07/x
  3. Step 3: Cross multiply
    826.14x = 1,146.26 × 819.07
  4. Step 4: Simplify right side
    826.14x = 938,867.18
  5. Step 5: Solve for x
    x = 938,867.18/826.14
  6. Step 6: Final answer
    x = 1,136.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.