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Finding the Fourth Proportional to 461.22, 687.72 and 455.55

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Solution

The fourth proportional to 461.22, 687.72 and 455.55 is: 679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.22 : 687.72 = 455.55 : x
  2. Step 2: Convert to fraction form
    461.22/687.72 = 455.55/x
  3. Step 3: Cross multiply
    461.22x = 687.72 × 455.55
  4. Step 4: Simplify right side
    461.22x = 313,290.85
  5. Step 5: Solve for x
    x = 313,290.85/461.22
  6. Step 6: Final answer
    x = 679.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.