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Finding the Fourth Proportional to 549.01, 823.91 and 412.42

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Solution

The fourth proportional to 549.01, 823.91 and 412.42 is: 618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.01 : 823.91 = 412.42 : x
  2. Step 2: Convert to fraction form
    549.01/823.91 = 412.42/x
  3. Step 3: Cross multiply
    549.01x = 823.91 × 412.42
  4. Step 4: Simplify right side
    549.01x = 339,796.96
  5. Step 5: Solve for x
    x = 339,796.96/549.01
  6. Step 6: Final answer
    x = 618.93

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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.