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Finding the Fourth Proportional to 616.77, 925.17 and 205.89

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Solution

The fourth proportional to 616.77, 925.17 and 205.89 is: 308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.77 : 925.17 = 205.89 : x
  2. Step 2: Convert to fraction form
    616.77/925.17 = 205.89/x
  3. Step 3: Cross multiply
    616.77x = 925.17 × 205.89
  4. Step 4: Simplify right side
    616.77x = 190,485.37
  5. Step 5: Solve for x
    x = 190,485.37/616.77
  6. Step 6: Final answer
    x = 308.84

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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.