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Finding the Fourth Proportional to 657.68, 986.41 and 170.71

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Solution

The fourth proportional to 657.68, 986.41 and 170.71 is: 256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 986.41 = 170.71 : x
  2. Step 2: Convert to fraction form
    657.68/986.41 = 170.71/x
  3. Step 3: Cross multiply
    657.68x = 986.41 × 170.71
  4. Step 4: Simplify right side
    657.68x = 168,390.05
  5. Step 5: Solve for x
    x = 168,390.05/657.68
  6. Step 6: Final answer
    x = 256.04

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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.