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Finding the Fourth Proportional to 684.65, 945.17 and 422.82

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Solution

The fourth proportional to 684.65, 945.17 and 422.82 is: 583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.65 : 945.17 = 422.82 : x
  2. Step 2: Convert to fraction form
    684.65/945.17 = 422.82/x
  3. Step 3: Cross multiply
    684.65x = 945.17 × 422.82
  4. Step 4: Simplify right side
    684.65x = 399,636.25
  5. Step 5: Solve for x
    x = 399,636.25/684.65
  6. Step 6: Final answer
    x = 583.71

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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.