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Finding the Fourth Proportional to 945.97, 1,418.60 and 452.29

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Solution

The fourth proportional to 945.97, 1,418.60 and 452.29 is: 678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.97 : 1,418.60 = 452.29 : x
  2. Step 2: Convert to fraction form
    945.97/1,418.60 = 452.29/x
  3. Step 3: Cross multiply
    945.97x = 1,418.60 × 452.29
  4. Step 4: Simplify right side
    945.97x = 641,616.33
  5. Step 5: Solve for x
    x = 641,616.33/945.97
  6. Step 6: Final answer
    x = 678.26

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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.