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Finding the Fourth Proportional to 549.73, 824.73 and 387.73

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Solution

The fourth proportional to 549.73, 824.73 and 387.73 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.73 : 824.73 = 387.73 : x
  2. Step 2: Convert to fraction form
    549.73/824.73 = 387.73/x
  3. Step 3: Cross multiply
    549.73x = 824.73 × 387.73
  4. Step 4: Simplify right side
    549.73x = 319,766.50
  5. Step 5: Solve for x
    x = 319,766.50/549.73
  6. Step 6: Final answer
    x = 581.68

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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.