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Finding the Fourth Proportional to 454.25, 623.10 and 450.35

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Solution

The fourth proportional to 454.25, 623.10 and 450.35 is: 617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.25 : 623.10 = 450.35 : x
  2. Step 2: Convert to fraction form
    454.25/623.10 = 450.35/x
  3. Step 3: Cross multiply
    454.25x = 623.10 × 450.35
  4. Step 4: Simplify right side
    454.25x = 280,613.09
  5. Step 5: Solve for x
    x = 280,613.09/454.25
  6. Step 6: Final answer
    x = 617.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.