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Finding the Fourth Proportional to 617.33, 925.78 and 270.57

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Solution

The fourth proportional to 617.33, 925.78 and 270.57 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.33 : 925.78 = 270.57 : x
  2. Step 2: Convert to fraction form
    617.33/925.78 = 270.57/x
  3. Step 3: Cross multiply
    617.33x = 925.78 × 270.57
  4. Step 4: Simplify right side
    617.33x = 250,488.29
  5. Step 5: Solve for x
    x = 250,488.29/617.33
  6. Step 6: Final answer
    x = 405.76

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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.