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Finding the Fourth Proportional to 454.98, 682.88 and 425.82

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Solution

The fourth proportional to 454.98, 682.88 and 425.82 is: 639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.98 : 682.88 = 425.82 : x
  2. Step 2: Convert to fraction form
    454.98/682.88 = 425.82/x
  3. Step 3: Cross multiply
    454.98x = 682.88 × 425.82
  4. Step 4: Simplify right side
    454.98x = 290,783.96
  5. Step 5: Solve for x
    x = 290,783.96/454.98
  6. Step 6: Final answer
    x = 639.11

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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.