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Finding the Fourth Proportional to 1,861.64, 2,791.92 and 562.76

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Solution

The fourth proportional to 1,861.64, 2,791.92 and 562.76 is: 843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.64 : 2,791.92 = 562.76 : x
  2. Step 2: Convert to fraction form
    1,861.64/2,791.92 = 562.76/x
  3. Step 3: Cross multiply
    1,861.64x = 2,791.92 × 562.76
  4. Step 4: Simplify right side
    1,861.64x = 1,571,180.90
  5. Step 5: Solve for x
    x = 1,571,180.90/1,861.64
  6. Step 6: Final answer
    x = 843.98

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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.