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Finding the Fourth Proportional to 742.87, 1,025.04 and 411.22

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Solution

The fourth proportional to 742.87, 1,025.04 and 411.22 is: 567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.87 : 1,025.04 = 411.22 : x
  2. Step 2: Convert to fraction form
    742.87/1,025.04 = 411.22/x
  3. Step 3: Cross multiply
    742.87x = 1,025.04 × 411.22
  4. Step 4: Simplify right side
    742.87x = 421,516.95
  5. Step 5: Solve for x
    x = 421,516.95/742.87
  6. Step 6: Final answer
    x = 567.42

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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.