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Finding the Fourth Proportional to 826.43, 1,141.22 and 532.19

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Solution

The fourth proportional to 826.43, 1,141.22 and 532.19 is: 734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.43 : 1,141.22 = 532.19 : x
  2. Step 2: Convert to fraction form
    826.43/1,141.22 = 532.19/x
  3. Step 3: Cross multiply
    826.43x = 1,141.22 × 532.19
  4. Step 4: Simplify right side
    826.43x = 607,346.06
  5. Step 5: Solve for x
    x = 607,346.06/826.43
  6. Step 6: Final answer
    x = 734.91

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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.