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Finding the Fourth Proportional to 542.09, 809.96 and 416.31

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Solution

The fourth proportional to 542.09, 809.96 and 416.31 is: 622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.09 : 809.96 = 416.31 : x
  2. Step 2: Convert to fraction form
    542.09/809.96 = 416.31/x
  3. Step 3: Cross multiply
    542.09x = 809.96 × 416.31
  4. Step 4: Simplify right side
    542.09x = 337,192.37
  5. Step 5: Solve for x
    x = 337,192.37/542.09
  6. Step 6: Final answer
    x = 622.03

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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.