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Finding the Fourth Proportional to 743, 1,025.36 and 411.44

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Solution

The fourth proportional to 743, 1,025.36 and 411.44 is: 567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    743 : 1,025.36 = 411.44 : x
  2. Step 2: Convert to fraction form
    743/1,025.36 = 411.44/x
  3. Step 3: Cross multiply
    743x = 1,025.36 × 411.44
  4. Step 4: Simplify right side
    743x = 421,874.12
  5. Step 5: Solve for x
    x = 421,874.12/743
  6. Step 6: Final answer
    x = 567.80

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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.