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Finding the Fourth Proportional to 454.18, 680.36 and 416.82

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Solution

The fourth proportional to 454.18, 680.36 and 416.82 is: 624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.18 : 680.36 = 416.82 : x
  2. Step 2: Convert to fraction form
    454.18/680.36 = 416.82/x
  3. Step 3: Cross multiply
    454.18x = 680.36 × 416.82
  4. Step 4: Simplify right side
    454.18x = 283,587.66
  5. Step 5: Solve for x
    x = 283,587.66/454.18
  6. Step 6: Final answer
    x = 624.39

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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.