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Finding the Fourth Proportional to 1,127.26, 1,689.77 and 396.44

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Solution

The fourth proportional to 1,127.26, 1,689.77 and 396.44 is: 594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.26 : 1,689.77 = 396.44 : x
  2. Step 2: Convert to fraction form
    1,127.26/1,689.77 = 396.44/x
  3. Step 3: Cross multiply
    1,127.26x = 1,689.77 × 396.44
  4. Step 4: Simplify right side
    1,127.26x = 669,884.96
  5. Step 5: Solve for x
    x = 669,884.96/1,127.26
  6. Step 6: Final answer
    x = 594.26

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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.