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Finding the Fourth Proportional to 826.82, 1,141.42 and 566.20

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Solution

The fourth proportional to 826.82, 1,141.42 and 566.20 is: 781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.82 : 1,141.42 = 566.20 : x
  2. Step 2: Convert to fraction form
    826.82/1,141.42 = 566.20/x
  3. Step 3: Cross multiply
    826.82x = 1,141.42 × 566.20
  4. Step 4: Simplify right side
    826.82x = 646,272.00
  5. Step 5: Solve for x
    x = 646,272.00/826.82
  6. Step 6: Final answer
    x = 781.64

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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.