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Finding the Fourth Proportional to 442.70, 610.38 and 415.97

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Solution

The fourth proportional to 442.70, 610.38 and 415.97 is: 573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.70 : 610.38 = 415.97 : x
  2. Step 2: Convert to fraction form
    442.70/610.38 = 415.97/x
  3. Step 3: Cross multiply
    442.70x = 610.38 × 415.97
  4. Step 4: Simplify right side
    442.70x = 253,899.77
  5. Step 5: Solve for x
    x = 253,899.77/442.70
  6. Step 6: Final answer
    x = 573.53

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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.