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Finding the Fourth Proportional to 1,255.11, 1,883.21 and 561.75

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Solution

The fourth proportional to 1,255.11, 1,883.21 and 561.75 is: 842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.11 : 1,883.21 = 561.75 : x
  2. Step 2: Convert to fraction form
    1,255.11/1,883.21 = 561.75/x
  3. Step 3: Cross multiply
    1,255.11x = 1,883.21 × 561.75
  4. Step 4: Simplify right side
    1,255.11x = 1,057,890.41
  5. Step 5: Solve for x
    x = 1,057,890.41/1,255.11
  6. Step 6: Final answer
    x = 842.87

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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.