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Finding the Fourth Proportional to 617.78, 851.36 and 442.82

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Solution

The fourth proportional to 617.78, 851.36 and 442.82 is: 610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.78 : 851.36 = 442.82 : x
  2. Step 2: Convert to fraction form
    617.78/851.36 = 442.82/x
  3. Step 3: Cross multiply
    617.78x = 851.36 × 442.82
  4. Step 4: Simplify right side
    617.78x = 376,999.24
  5. Step 5: Solve for x
    x = 376,999.24/617.78
  6. Step 6: Final answer
    x = 610.25

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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.