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Finding the Fourth Proportional to 684.64, 944.40 and 422.48

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Solution

The fourth proportional to 684.64, 944.40 and 422.48 is: 582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.64 : 944.40 = 422.48 : x
  2. Step 2: Convert to fraction form
    684.64/944.40 = 422.48/x
  3. Step 3: Cross multiply
    684.64x = 944.40 × 422.48
  4. Step 4: Simplify right side
    684.64x = 398,990.11
  5. Step 5: Solve for x
    x = 398,990.11/684.64
  6. Step 6: Final answer
    x = 582.77

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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.