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Finding the Fourth Proportional to 549.27, 816.66 and 543.78

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Solution

The fourth proportional to 549.27, 816.66 and 543.78 is: 808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.27 : 816.66 = 543.78 : x
  2. Step 2: Convert to fraction form
    549.27/816.66 = 543.78/x
  3. Step 3: Cross multiply
    549.27x = 816.66 × 543.78
  4. Step 4: Simplify right side
    549.27x = 444,083.37
  5. Step 5: Solve for x
    x = 444,083.37/549.27
  6. Step 6: Final answer
    x = 808.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.