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Finding the Fourth Proportional to 581.82, 872.71 and 170.97

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Solution

The fourth proportional to 581.82, 872.71 and 170.97 is: 256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.82 : 872.71 = 170.97 : x
  2. Step 2: Convert to fraction form
    581.82/872.71 = 170.97/x
  3. Step 3: Cross multiply
    581.82x = 872.71 × 170.97
  4. Step 4: Simplify right side
    581.82x = 149,203.53
  5. Step 5: Solve for x
    x = 149,203.53/581.82
  6. Step 6: Final answer
    x = 256.44

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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.