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Finding the Fourth Proportional to 894.26, 1,341.75 and 406.82

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Solution

The fourth proportional to 894.26, 1,341.75 and 406.82 is: 610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.26 : 1,341.75 = 406.82 : x
  2. Step 2: Convert to fraction form
    894.26/1,341.75 = 406.82/x
  3. Step 3: Cross multiply
    894.26x = 1,341.75 × 406.82
  4. Step 4: Simplify right side
    894.26x = 545,850.74
  5. Step 5: Solve for x
    x = 545,850.74/894.26
  6. Step 6: Final answer
    x = 610.39

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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.