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Finding the Fourth Proportional to 617.78, 926.82 and 206.92

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Solution

The fourth proportional to 617.78, 926.82 and 206.92 is: 310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.78 : 926.82 = 206.92 : x
  2. Step 2: Convert to fraction form
    617.78/926.82 = 206.92/x
  3. Step 3: Cross multiply
    617.78x = 926.82 × 206.92
  4. Step 4: Simplify right side
    617.78x = 191,774.50
  5. Step 5: Solve for x
    x = 191,774.50/617.78
  6. Step 6: Final answer
    x = 310.43

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Double scale
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1.5x scale

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.