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Finding the Fourth Proportional to 548.42, 822.90 and 412.64

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Solution

The fourth proportional to 548.42, 822.90 and 412.64 is: 619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.42 : 822.90 = 412.64 : x
  2. Step 2: Convert to fraction form
    548.42/822.90 = 412.64/x
  3. Step 3: Cross multiply
    548.42x = 822.90 × 412.64
  4. Step 4: Simplify right side
    548.42x = 339,561.46
  5. Step 5: Solve for x
    x = 339,561.46/548.42
  6. Step 6: Final answer
    x = 619.16

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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.