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Finding the Fourth Proportional to 455.27, 628.43 and 408.56

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Solution

The fourth proportional to 455.27, 628.43 and 408.56 is: 563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.27 : 628.43 = 408.56 : x
  2. Step 2: Convert to fraction form
    455.27/628.43 = 408.56/x
  3. Step 3: Cross multiply
    455.27x = 628.43 × 408.56
  4. Step 4: Simplify right side
    455.27x = 256,746.18
  5. Step 5: Solve for x
    x = 256,746.18/455.27
  6. Step 6: Final answer
    x = 563.95

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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.