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Finding the Fourth Proportional to 442.28, 610.82 and 405.37

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Solution

The fourth proportional to 442.28, 610.82 and 405.37 is: 559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.28 : 610.82 = 405.37 : x
  2. Step 2: Convert to fraction form
    442.28/610.82 = 405.37/x
  3. Step 3: Cross multiply
    442.28x = 610.82 × 405.37
  4. Step 4: Simplify right side
    442.28x = 247,610.64
  5. Step 5: Solve for x
    x = 247,610.64/442.28
  6. Step 6: Final answer
    x = 559.85

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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.