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Finding the Fourth Proportional to 822.41, 1,233.62 and 497.09

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Solution

The fourth proportional to 822.41, 1,233.62 and 497.09 is: 745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.41 : 1,233.62 = 497.09 : x
  2. Step 2: Convert to fraction form
    822.41/1,233.62 = 497.09/x
  3. Step 3: Cross multiply
    822.41x = 1,233.62 × 497.09
  4. Step 4: Simplify right side
    822.41x = 613,220.17
  5. Step 5: Solve for x
    x = 613,220.17/822.41
  6. Step 6: Final answer
    x = 745.64

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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.