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Finding the Fourth Proportional to 497, 685.22 and 404.20

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Solution

The fourth proportional to 497, 685.22 and 404.20 is: 557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497 : 685.22 = 404.20 : x
  2. Step 2: Convert to fraction form
    497/685.22 = 404.20/x
  3. Step 3: Cross multiply
    497x = 685.22 × 404.20
  4. Step 4: Simplify right side
    497x = 276,965.92
  5. Step 5: Solve for x
    x = 276,965.92/497
  6. Step 6: Final answer
    x = 557.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.