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Finding the Fourth Proportional to 657.17, 985.74 and 170.22

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Solution

The fourth proportional to 657.17, 985.74 and 170.22 is: 255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.17 : 985.74 = 170.22 : x
  2. Step 2: Convert to fraction form
    657.17/985.74 = 170.22/x
  3. Step 3: Cross multiply
    657.17x = 985.74 × 170.22
  4. Step 4: Simplify right side
    657.17x = 167,792.66
  5. Step 5: Solve for x
    x = 167,792.66/657.17
  6. Step 6: Final answer
    x = 255.33

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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.