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Finding the Fourth Proportional to 581.56, 871.71 and 273.22

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Solution

The fourth proportional to 581.56, 871.71 and 273.22 is: 409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.56 : 871.71 = 273.22 : x
  2. Step 2: Convert to fraction form
    581.56/871.71 = 273.22/x
  3. Step 3: Cross multiply
    581.56x = 871.71 × 273.22
  4. Step 4: Simplify right side
    581.56x = 238,168.61
  5. Step 5: Solve for x
    x = 238,168.61/581.56
  6. Step 6: Final answer
    x = 409.53

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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.