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Finding the Fourth Proportional to 599.22, 828.14 and 451.80

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Solution

The fourth proportional to 599.22, 828.14 and 451.80 is: 624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.22 : 828.14 = 451.80 : x
  2. Step 2: Convert to fraction form
    599.22/828.14 = 451.80/x
  3. Step 3: Cross multiply
    599.22x = 828.14 × 451.80
  4. Step 4: Simplify right side
    599.22x = 374,151.39
  5. Step 5: Solve for x
    x = 374,151.39/599.22
  6. Step 6: Final answer
    x = 624.40

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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.