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Finding the Fourth Proportional to 617.33, 851.50 and 492.77

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Solution

The fourth proportional to 617.33, 851.50 and 492.77 is: 679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.33 : 851.50 = 492.77 : x
  2. Step 2: Convert to fraction form
    617.33/851.50 = 492.77/x
  3. Step 3: Cross multiply
    617.33x = 851.50 × 492.77
  4. Step 4: Simplify right side
    617.33x = 419,593.66
  5. Step 5: Solve for x
    x = 419,593.66/617.33
  6. Step 6: Final answer
    x = 679.69

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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.