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Finding the Fourth Proportional to 549, 822.54 and 419.31

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Solution

The fourth proportional to 549, 822.54 and 419.31 is: 628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549 : 822.54 = 419.31 : x
  2. Step 2: Convert to fraction form
    549/822.54 = 419.31/x
  3. Step 3: Cross multiply
    549x = 822.54 × 419.31
  4. Step 4: Simplify right side
    549x = 344,899.25
  5. Step 5: Solve for x
    x = 344,899.25/549
  6. Step 6: Final answer
    x = 628.23

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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.