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Finding the Fourth Proportional to 826.48, 1,238.10 and 566.44

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Solution

The fourth proportional to 826.48, 1,238.10 and 566.44 is: 848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.48 : 1,238.10 = 566.44 : x
  2. Step 2: Convert to fraction form
    826.48/1,238.10 = 566.44/x
  3. Step 3: Cross multiply
    826.48x = 1,238.10 × 566.44
  4. Step 4: Simplify right side
    826.48x = 701,309.36
  5. Step 5: Solve for x
    x = 701,309.36/826.48
  6. Step 6: Final answer
    x = 848.55

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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.