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Finding the Fourth Proportional to 686.22, 945.99 and 423.78

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Solution

The fourth proportional to 686.22, 945.99 and 423.78 is: 584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.22 : 945.99 = 423.78 : x
  2. Step 2: Convert to fraction form
    686.22/945.99 = 423.78/x
  3. Step 3: Cross multiply
    686.22x = 945.99 × 423.78
  4. Step 4: Simplify right side
    686.22x = 400,891.64
  5. Step 5: Solve for x
    x = 400,891.64/686.22
  6. Step 6: Final answer
    x = 584.20

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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.