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Finding the Fourth Proportional to 826.29, 1,238.25 and 497.37

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Solution

The fourth proportional to 826.29, 1,238.25 and 497.37 is: 745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.29 : 1,238.25 = 497.37 : x
  2. Step 2: Convert to fraction form
    826.29/1,238.25 = 497.37/x
  3. Step 3: Cross multiply
    826.29x = 1,238.25 × 497.37
  4. Step 4: Simplify right side
    826.29x = 615,862.21
  5. Step 5: Solve for x
    x = 615,862.21/826.29
  6. Step 6: Final answer
    x = 745.33

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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.