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Finding the Fourth Proportional to 581.78, 872.57 and 191.77

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Solution

The fourth proportional to 581.78, 872.57 and 191.77 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.78 : 872.57 = 191.77 : x
  2. Step 2: Convert to fraction form
    581.78/872.57 = 191.77/x
  3. Step 3: Cross multiply
    581.78x = 872.57 × 191.77
  4. Step 4: Simplify right side
    581.78x = 167,331.05
  5. Step 5: Solve for x
    x = 167,331.05/581.78
  6. Step 6: Final answer
    x = 287.62

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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.