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Finding the Fourth Proportional to 1,799.78, 2,701.03 and 826.57

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Solution

The fourth proportional to 1,799.78, 2,701.03 and 826.57 is: 1,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.78 : 2,701.03 = 826.57 : x
  2. Step 2: Convert to fraction form
    1,799.78/2,701.03 = 826.57/x
  3. Step 3: Cross multiply
    1,799.78x = 2,701.03 × 826.57
  4. Step 4: Simplify right side
    1,799.78x = 2,232,581.55
  5. Step 5: Solve for x
    x = 2,232,581.55/1,799.78
  6. Step 6: Final answer
    x = 1,240.47

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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.