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Finding the Fourth Proportional to 684.76, 945 and 422.62

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Solution

The fourth proportional to 684.76, 945 and 422.62 is: 583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.76 : 945 = 422.62 : x
  2. Step 2: Convert to fraction form
    684.76/945 = 422.62/x
  3. Step 3: Cross multiply
    684.76x = 945 × 422.62
  4. Step 4: Simplify right side
    684.76x = 399,375.90
  5. Step 5: Solve for x
    x = 399,375.90/684.76
  6. Step 6: Final answer
    x = 583.23

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1.5x scale

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.