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Finding the Fourth Proportional to 549.18, 826.99 and 396.17

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Solution

The fourth proportional to 549.18, 826.99 and 396.17 is: 596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 826.99 = 396.17 : x
  2. Step 2: Convert to fraction form
    549.18/826.99 = 396.17/x
  3. Step 3: Cross multiply
    549.18x = 826.99 × 396.17
  4. Step 4: Simplify right side
    549.18x = 327,628.63
  5. Step 5: Solve for x
    x = 327,628.63/549.18
  6. Step 6: Final answer
    x = 596.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.