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Finding the Fourth Proportional to 581.92, 873.17 and 273.81

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Solution

The fourth proportional to 581.92, 873.17 and 273.81 is: 410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.92 : 873.17 = 273.81 : x
  2. Step 2: Convert to fraction form
    581.92/873.17 = 273.81/x
  3. Step 3: Cross multiply
    581.92x = 873.17 × 273.81
  4. Step 4: Simplify right side
    581.92x = 239,079.06
  5. Step 5: Solve for x
    x = 239,079.06/581.92
  6. Step 6: Final answer
    x = 410.84

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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.