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Finding the Fourth Proportional to 454.85, 682.77 and 425.10

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Solution

The fourth proportional to 454.85, 682.77 and 425.10 is: 638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.85 : 682.77 = 425.10 : x
  2. Step 2: Convert to fraction form
    454.85/682.77 = 425.10/x
  3. Step 3: Cross multiply
    454.85x = 682.77 × 425.10
  4. Step 4: Simplify right side
    454.85x = 290,245.53
  5. Step 5: Solve for x
    x = 290,245.53/454.85
  6. Step 6: Final answer
    x = 638.12

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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.