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Finding the Fourth Proportional to 452.58, 624.56 and 321.82

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Solution

The fourth proportional to 452.58, 624.56 and 321.82 is: 444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.58 : 624.56 = 321.82 : x
  2. Step 2: Convert to fraction form
    452.58/624.56 = 321.82/x
  3. Step 3: Cross multiply
    452.58x = 624.56 × 321.82
  4. Step 4: Simplify right side
    452.58x = 200,992.73
  5. Step 5: Solve for x
    x = 200,992.73/452.58
  6. Step 6: Final answer
    x = 444.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.