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Finding the Fourth Proportional to 552.79, 827.22 and 406.19

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Solution

The fourth proportional to 552.79, 827.22 and 406.19 is: 607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.79 : 827.22 = 406.19 : x
  2. Step 2: Convert to fraction form
    552.79/827.22 = 406.19/x
  3. Step 3: Cross multiply
    552.79x = 827.22 × 406.19
  4. Step 4: Simplify right side
    552.79x = 336,008.49
  5. Step 5: Solve for x
    x = 336,008.49/552.79
  6. Step 6: Final answer
    x = 607.84

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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.