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Finding the Fourth Proportional to 599.84, 828.32 and 452.21

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Solution

The fourth proportional to 599.84, 828.32 and 452.21 is: 624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 828.32 = 452.21 : x
  2. Step 2: Convert to fraction form
    599.84/828.32 = 452.21/x
  3. Step 3: Cross multiply
    599.84x = 828.32 × 452.21
  4. Step 4: Simplify right side
    599.84x = 374,574.59
  5. Step 5: Solve for x
    x = 374,574.59/599.84
  6. Step 6: Final answer
    x = 624.46

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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.