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Finding the Fourth Proportional to 664.55, 996.81 and 170.95

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Solution

The fourth proportional to 664.55, 996.81 and 170.95 is: 256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.55 : 996.81 = 170.95 : x
  2. Step 2: Convert to fraction form
    664.55/996.81 = 170.95/x
  3. Step 3: Cross multiply
    664.55x = 996.81 × 170.95
  4. Step 4: Simplify right side
    664.55x = 170,402.18
  5. Step 5: Solve for x
    x = 170,402.18/664.55
  6. Step 6: Final answer
    x = 256.42

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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.