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Finding the Fourth Proportional to 1,581.63, 2,372.22 and 541.68

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Solution

The fourth proportional to 1,581.63, 2,372.22 and 541.68 is: 812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.63 : 2,372.22 = 541.68 : x
  2. Step 2: Convert to fraction form
    1,581.63/2,372.22 = 541.68/x
  3. Step 3: Cross multiply
    1,581.63x = 2,372.22 × 541.68
  4. Step 4: Simplify right side
    1,581.63x = 1,284,984.13
  5. Step 5: Solve for x
    x = 1,284,984.13/1,581.63
  6. Step 6: Final answer
    x = 812.44

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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.