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Finding the Fourth Proportional to 461.55, 687.20 and 455.09

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Solution

The fourth proportional to 461.55, 687.20 and 455.09 is: 677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.55 : 687.20 = 455.09 : x
  2. Step 2: Convert to fraction form
    461.55/687.20 = 455.09/x
  3. Step 3: Cross multiply
    461.55x = 687.20 × 455.09
  4. Step 4: Simplify right side
    461.55x = 312,735.57
  5. Step 5: Solve for x
    x = 312,735.57/461.55
  6. Step 6: Final answer
    x = 677.58

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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.