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Finding the Fourth Proportional to 553.68, 827.10 and 542.88

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Solution

The fourth proportional to 553.68, 827.10 and 542.88 is: 810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.68 : 827.10 = 542.88 : x
  2. Step 2: Convert to fraction form
    553.68/827.10 = 542.88/x
  3. Step 3: Cross multiply
    553.68x = 827.10 × 542.88
  4. Step 4: Simplify right side
    553.68x = 449,016.05
  5. Step 5: Solve for x
    x = 449,016.05/553.68
  6. Step 6: Final answer
    x = 810.97

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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.