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Finding the Fourth Proportional to 822.29, 1,233.45 and 412.25

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Solution

The fourth proportional to 822.29, 1,233.45 and 412.25 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.29 : 1,233.45 = 412.25 : x
  2. Step 2: Convert to fraction form
    822.29/1,233.45 = 412.25/x
  3. Step 3: Cross multiply
    822.29x = 1,233.45 × 412.25
  4. Step 4: Simplify right side
    822.29x = 508,483.60
  5. Step 5: Solve for x
    x = 508,483.60/822.29
  6. Step 6: Final answer
    x = 618.38

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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.