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Finding the Fourth Proportional to 1,163.85, 1,753.54 and 1,052.80

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Solution

The fourth proportional to 1,163.85, 1,753.54 and 1,052.80 is: 1,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.85 : 1,753.54 = 1,052.80 : x
  2. Step 2: Convert to fraction form
    1,163.85/1,753.54 = 1,052.80/x
  3. Step 3: Cross multiply
    1,163.85x = 1,753.54 × 1,052.80
  4. Step 4: Simplify right side
    1,163.85x = 1,846,126.91
  5. Step 5: Solve for x
    x = 1,846,126.91/1,163.85
  6. Step 6: Final answer
    x = 1,586.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.