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Finding the Fourth Proportional to 581.79, 872.67 and 170.91

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Solution

The fourth proportional to 581.79, 872.67 and 170.91 is: 256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.79 : 872.67 = 170.91 : x
  2. Step 2: Convert to fraction form
    581.79/872.67 = 170.91/x
  3. Step 3: Cross multiply
    581.79x = 872.67 × 170.91
  4. Step 4: Simplify right side
    581.79x = 149,148.03
  5. Step 5: Solve for x
    x = 149,148.03/581.79
  6. Step 6: Final answer
    x = 256.36

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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.