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Finding the Fourth Proportional to 1,350.29, 1,863.45 and 826.22

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Solution

The fourth proportional to 1,350.29, 1,863.45 and 826.22 is: 1,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.29 : 1,863.45 = 826.22 : x
  2. Step 2: Convert to fraction form
    1,350.29/1,863.45 = 826.22/x
  3. Step 3: Cross multiply
    1,350.29x = 1,863.45 × 826.22
  4. Step 4: Simplify right side
    1,350.29x = 1,539,610.34
  5. Step 5: Solve for x
    x = 1,539,610.34/1,350.29
  6. Step 6: Final answer
    x = 1,140.21

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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.