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Finding the Fourth Proportional to 549.27, 822.99 and 386.61

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Solution

The fourth proportional to 549.27, 822.99 and 386.61 is: 579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.27 : 822.99 = 386.61 : x
  2. Step 2: Convert to fraction form
    549.27/822.99 = 386.61/x
  3. Step 3: Cross multiply
    549.27x = 822.99 × 386.61
  4. Step 4: Simplify right side
    549.27x = 318,176.16
  5. Step 5: Solve for x
    x = 318,176.16/549.27
  6. Step 6: Final answer
    x = 579.27

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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.