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Finding the Fourth Proportional to 549.23, 822.86 and 364.25

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Solution

The fourth proportional to 549.23, 822.86 and 364.25 is: 545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.23 : 822.86 = 364.25 : x
  2. Step 2: Convert to fraction form
    549.23/822.86 = 364.25/x
  3. Step 3: Cross multiply
    549.23x = 822.86 × 364.25
  4. Step 4: Simplify right side
    549.23x = 299,723.73
  5. Step 5: Solve for x
    x = 299,723.73/549.23
  6. Step 6: Final answer
    x = 545.72

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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.