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Finding the Fourth Proportional to 549.36, 822.56 and 412.48

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Solution

The fourth proportional to 549.36, 822.56 and 412.48 is: 617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.36 : 822.56 = 412.48 : x
  2. Step 2: Convert to fraction form
    549.36/822.56 = 412.48/x
  3. Step 3: Cross multiply
    549.36x = 822.56 × 412.48
  4. Step 4: Simplify right side
    549.36x = 339,289.55
  5. Step 5: Solve for x
    x = 339,289.55/549.36
  6. Step 6: Final answer
    x = 617.61

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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.