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Finding the Fourth Proportional to 825.22, 1,238.15 and 496.78

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Solution

The fourth proportional to 825.22, 1,238.15 and 496.78 is: 745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.22 : 1,238.15 = 496.78 : x
  2. Step 2: Convert to fraction form
    825.22/1,238.15 = 496.78/x
  3. Step 3: Cross multiply
    825.22x = 1,238.15 × 496.78
  4. Step 4: Simplify right side
    825.22x = 615,088.16
  5. Step 5: Solve for x
    x = 615,088.16/825.22
  6. Step 6: Final answer
    x = 745.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.