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Finding the Fourth Proportional to 454.20, 684 and 411.36

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Solution

The fourth proportional to 454.20, 684 and 411.36 is: 619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.20 : 684 = 411.36 : x
  2. Step 2: Convert to fraction form
    454.20/684 = 411.36/x
  3. Step 3: Cross multiply
    454.20x = 684 × 411.36
  4. Step 4: Simplify right side
    454.20x = 281,370.24
  5. Step 5: Solve for x
    x = 281,370.24/454.20
  6. Step 6: Final answer
    x = 619.49

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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.