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Finding the Fourth Proportional to 894.92, 1,342.31 and 408.29

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Solution

The fourth proportional to 894.92, 1,342.31 and 408.29 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.92 : 1,342.31 = 408.29 : x
  2. Step 2: Convert to fraction form
    894.92/1,342.31 = 408.29/x
  3. Step 3: Cross multiply
    894.92x = 1,342.31 × 408.29
  4. Step 4: Simplify right side
    894.92x = 548,043.00
  5. Step 5: Solve for x
    x = 548,043.00/894.92
  6. Step 6: Final answer
    x = 612.40

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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.