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Finding the Fourth Proportional to 549.41, 824.51 and 442.49

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Solution

The fourth proportional to 549.41, 824.51 and 442.49 is: 664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.41 : 824.51 = 442.49 : x
  2. Step 2: Convert to fraction form
    549.41/824.51 = 442.49/x
  3. Step 3: Cross multiply
    549.41x = 824.51 × 442.49
  4. Step 4: Simplify right side
    549.41x = 364,834.41
  5. Step 5: Solve for x
    x = 364,834.41/549.41
  6. Step 6: Final answer
    x = 664.05

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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.