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Finding the Fourth Proportional to 440.32, 663.22 and 408.46

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Solution

The fourth proportional to 440.32, 663.22 and 408.46 is: 615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.32 : 663.22 = 408.46 : x
  2. Step 2: Convert to fraction form
    440.32/663.22 = 408.46/x
  3. Step 3: Cross multiply
    440.32x = 663.22 × 408.46
  4. Step 4: Simplify right side
    440.32x = 270,898.84
  5. Step 5: Solve for x
    x = 270,898.84/440.32
  6. Step 6: Final answer
    x = 615.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.