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Finding the Fourth Proportional to 1,105.94, 1,659.21 and 375.57

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Solution

The fourth proportional to 1,105.94, 1,659.21 and 375.57 is: 563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.94 : 1,659.21 = 375.57 : x
  2. Step 2: Convert to fraction form
    1,105.94/1,659.21 = 375.57/x
  3. Step 3: Cross multiply
    1,105.94x = 1,659.21 × 375.57
  4. Step 4: Simplify right side
    1,105.94x = 623,149.50
  5. Step 5: Solve for x
    x = 623,149.50/1,105.94
  6. Step 6: Final answer
    x = 563.46

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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.