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Finding the Fourth Proportional to 617.73, 926.66 and 206.88

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Solution

The fourth proportional to 617.73, 926.66 and 206.88 is: 310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.73 : 926.66 = 206.88 : x
  2. Step 2: Convert to fraction form
    617.73/926.66 = 206.88/x
  3. Step 3: Cross multiply
    617.73x = 926.66 × 206.88
  4. Step 4: Simplify right side
    617.73x = 191,707.42
  5. Step 5: Solve for x
    x = 191,707.42/617.73
  6. Step 6: Final answer
    x = 310.34

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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.