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Finding the Fourth Proportional to 617.72, 851.28 and 442.76

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Solution

The fourth proportional to 617.72, 851.28 and 442.76 is: 610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.72 : 851.28 = 442.76 : x
  2. Step 2: Convert to fraction form
    617.72/851.28 = 442.76/x
  3. Step 3: Cross multiply
    617.72x = 851.28 × 442.76
  4. Step 4: Simplify right side
    617.72x = 376,906.26
  5. Step 5: Solve for x
    x = 376,906.26/617.72
  6. Step 6: Final answer
    x = 610.16

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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.