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Finding the Fourth Proportional to 617.89, 926.76 and 185.05

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Solution

The fourth proportional to 617.89, 926.76 and 185.05 is: 277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.89 : 926.76 = 185.05 : x
  2. Step 2: Convert to fraction form
    617.89/926.76 = 185.05/x
  3. Step 3: Cross multiply
    617.89x = 926.76 × 185.05
  4. Step 4: Simplify right side
    617.89x = 171,496.94
  5. Step 5: Solve for x
    x = 171,496.94/617.89
  6. Step 6: Final answer
    x = 277.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.