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Finding the Fourth Proportional to 455.28, 684.84 and 411.12

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Solution

The fourth proportional to 455.28, 684.84 and 411.12 is: 618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.28 : 684.84 = 411.12 : x
  2. Step 2: Convert to fraction form
    455.28/684.84 = 411.12/x
  3. Step 3: Cross multiply
    455.28x = 684.84 × 411.12
  4. Step 4: Simplify right side
    455.28x = 281,551.42
  5. Step 5: Solve for x
    x = 281,551.42/455.28
  6. Step 6: Final answer
    x = 618.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.