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Finding the Fourth Proportional to 453.32, 622.17 and 411.81

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Solution

The fourth proportional to 453.32, 622.17 and 411.81 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.32 : 622.17 = 411.81 : x
  2. Step 2: Convert to fraction form
    453.32/622.17 = 411.81/x
  3. Step 3: Cross multiply
    453.32x = 622.17 × 411.81
  4. Step 4: Simplify right side
    453.32x = 256,215.83
  5. Step 5: Solve for x
    x = 256,215.83/453.32
  6. Step 6: Final answer
    x = 565.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.