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Finding the Fourth Proportional to 1,103.91, 1,524.87 and 773.43

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Solution

The fourth proportional to 1,103.91, 1,524.87 and 773.43 is: 1,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.91 : 1,524.87 = 773.43 : x
  2. Step 2: Convert to fraction form
    1,103.91/1,524.87 = 773.43/x
  3. Step 3: Cross multiply
    1,103.91x = 1,524.87 × 773.43
  4. Step 4: Simplify right side
    1,103.91x = 1,179,380.20
  5. Step 5: Solve for x
    x = 1,179,380.20/1,103.91
  6. Step 6: Final answer
    x = 1,068.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.